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Finding the Fourth Proportional to 10,711.28, 16,070.08 and 4,470.24

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Solution

The fourth proportional to 10,711.28, 16,070.08 and 4,470.24 is: 6,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.28 : 16,070.08 = 4,470.24 : x
  2. Step 2: Convert to fraction form
    10,711.28/16,070.08 = 4,470.24/x
  3. Step 3: Cross multiply
    10,711.28x = 16,070.08 × 4,470.24
  4. Step 4: Simplify right side
    10,711.28x = 71,837,114.42
  5. Step 5: Solve for x
    x = 71,837,114.42/10,711.28
  6. Step 6: Final answer
    x = 6,706.68

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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.