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Finding the Fourth Proportional to 11,711.59, 16,154.03 and 7,172.15

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Solution

The fourth proportional to 11,711.59, 16,154.03 and 7,172.15 is: 9,892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.59 : 16,154.03 = 7,172.15 : x
  2. Step 2: Convert to fraction form
    11,711.59/16,154.03 = 7,172.15/x
  3. Step 3: Cross multiply
    11,711.59x = 16,154.03 × 7,172.15
  4. Step 4: Simplify right side
    11,711.59x = 115,859,063.42
  5. Step 5: Solve for x
    x = 115,859,063.42/11,711.59
  6. Step 6: Final answer
    x = 9,892.69

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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.