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Finding the Fourth Proportional to 11,713.49, 16,169.90 and 7,470.24

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Solution

The fourth proportional to 11,713.49, 16,169.90 and 7,470.24 is: 10,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.49 : 16,169.90 = 7,470.24 : x
  2. Step 2: Convert to fraction form
    11,713.49/16,169.90 = 7,470.24/x
  3. Step 3: Cross multiply
    11,713.49x = 16,169.90 × 7,470.24
  4. Step 4: Simplify right side
    11,713.49x = 120,792,996.42
  5. Step 5: Solve for x
    x = 120,792,996.42/11,713.49
  6. Step 6: Final answer
    x = 10,312.30

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