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Finding the Fourth Proportional to 10,700.05, 14,766.06 and 5,984.34

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Solution

The fourth proportional to 10,700.05, 14,766.06 and 5,984.34 is: 8,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.05 : 14,766.06 = 5,984.34 : x
  2. Step 2: Convert to fraction form
    10,700.05/14,766.06 = 5,984.34/x
  3. Step 3: Cross multiply
    10,700.05x = 14,766.06 × 5,984.34
  4. Step 4: Simplify right side
    10,700.05x = 88,365,123.50
  5. Step 5: Solve for x
    x = 88,365,123.50/10,700.05
  6. Step 6: Final answer
    x = 8,258.38

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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.