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Finding the Fourth Proportional to 11,698.84, 16,139.76 and 7,448.80

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Solution

The fourth proportional to 11,698.84, 16,139.76 and 7,448.80 is: 10,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.84 : 16,139.76 = 7,448.80 : x
  2. Step 2: Convert to fraction form
    11,698.84/16,139.76 = 7,448.80/x
  3. Step 3: Cross multiply
    11,698.84x = 16,139.76 × 7,448.80
  4. Step 4: Simplify right side
    11,698.84x = 120,221,844.29
  5. Step 5: Solve for x
    x = 120,221,844.29/11,698.84
  6. Step 6: Final answer
    x = 10,276.39

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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.