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Finding the Fourth Proportional to 11,505.34, 15,877.28 and 6,469.55

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Solution

The fourth proportional to 11,505.34, 15,877.28 and 6,469.55 is: 8,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.34 : 15,877.28 = 6,469.55 : x
  2. Step 2: Convert to fraction form
    11,505.34/15,877.28 = 6,469.55/x
  3. Step 3: Cross multiply
    11,505.34x = 15,877.28 × 6,469.55
  4. Step 4: Simplify right side
    11,505.34x = 102,718,781.20
  5. Step 5: Solve for x
    x = 102,718,781.20/11,505.34
  6. Step 6: Final answer
    x = 8,927.92

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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.