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Finding the Fourth Proportional to 11,522.92, 17,287.89 and 5,980.24

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Solution

The fourth proportional to 11,522.92, 17,287.89 and 5,980.24 is: 8,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.92 : 17,287.89 = 5,980.24 : x
  2. Step 2: Convert to fraction form
    11,522.92/17,287.89 = 5,980.24/x
  3. Step 3: Cross multiply
    11,522.92x = 17,287.89 × 5,980.24
  4. Step 4: Simplify right side
    11,522.92x = 103,385,731.29
  5. Step 5: Solve for x
    x = 103,385,731.29/11,522.92
  6. Step 6: Final answer
    x = 8,972.18

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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.