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Finding the Fourth Proportional to 11,034.30, 15,209.64 and 8,640.24

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Solution

The fourth proportional to 11,034.30, 15,209.64 and 8,640.24 is: 11,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.30 : 15,209.64 = 8,640.24 : x
  2. Step 2: Convert to fraction form
    11,034.30/15,209.64 = 8,640.24/x
  3. Step 3: Cross multiply
    11,034.30x = 15,209.64 × 8,640.24
  4. Step 4: Simplify right side
    11,034.30x = 131,414,939.91
  5. Step 5: Solve for x
    x = 131,414,939.91/11,034.30
  6. Step 6: Final answer
    x = 11,909.68

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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.