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Finding the Fourth Proportional to 10,711.10, 16,066.78 and 4,472.06

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Solution

The fourth proportional to 10,711.10, 16,066.78 and 4,472.06 is: 6,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.10 : 16,066.78 = 4,472.06 : x
  2. Step 2: Convert to fraction form
    10,711.10/16,066.78 = 4,472.06/x
  3. Step 3: Cross multiply
    10,711.10x = 16,066.78 × 4,472.06
  4. Step 4: Simplify right side
    10,711.10x = 71,851,604.17
  5. Step 5: Solve for x
    x = 71,851,604.17/10,711.10
  6. Step 6: Final answer
    x = 6,708.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.