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Finding the Fourth Proportional to 10,842,698.34, 14,963,123.34 and 5,948,170.38

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Solution

The fourth proportional to 10,842,698.34, 14,963,123.34 and 5,948,170.38 is: 8,208,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842,698.34 : 14,963,123.34 = 5,948,170.38 : x
  2. Step 2: Convert to fraction form
    10,842,698.34/14,963,123.34 = 5,948,170.38/x
  3. Step 3: Cross multiply
    10,842,698.34x = 14,963,123.34 × 5,948,170.38
  4. Step 4: Simplify right side
    10,842,698.34x = 89,003,207,043,274.67
  5. Step 5: Solve for x
    x = 89,003,207,043,274.67/10,842,698.34
  6. Step 6: Final answer
    x = 8,208,584.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.