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Finding the Fourth Proportional to 11,589.72, 17,384.68 and 7,666.14

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Solution

The fourth proportional to 11,589.72, 17,384.68 and 7,666.14 is: 11,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.72 : 17,384.68 = 7,666.14 : x
  2. Step 2: Convert to fraction form
    11,589.72/17,384.68 = 7,666.14/x
  3. Step 3: Cross multiply
    11,589.72x = 17,384.68 × 7,666.14
  4. Step 4: Simplify right side
    11,589.72x = 133,273,390.74
  5. Step 5: Solve for x
    x = 133,273,390.74/11,589.72
  6. Step 6: Final answer
    x = 11,499.28

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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.