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Finding the Fourth Proportional to 11,522.91, 15,902.82 and 7,049.64

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Solution

The fourth proportional to 11,522.91, 15,902.82 and 7,049.64 is: 9,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.91 : 15,902.82 = 7,049.64 : x
  2. Step 2: Convert to fraction form
    11,522.91/15,902.82 = 7,049.64/x
  3. Step 3: Cross multiply
    11,522.91x = 15,902.82 × 7,049.64
  4. Step 4: Simplify right side
    11,522.91x = 112,109,155.98
  5. Step 5: Solve for x
    x = 112,109,155.98/11,522.91
  6. Step 6: Final answer
    x = 9,729.24

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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.