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Finding the Fourth Proportional to 11,505.16, 15,877.14 and 6,469.43

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Solution

The fourth proportional to 11,505.16, 15,877.14 and 6,469.43 is: 8,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.16 : 15,877.14 = 6,469.43 : x
  2. Step 2: Convert to fraction form
    11,505.16/15,877.14 = 6,469.43/x
  3. Step 3: Cross multiply
    11,505.16x = 15,877.14 × 6,469.43
  4. Step 4: Simplify right side
    11,505.16x = 102,715,966.44
  5. Step 5: Solve for x
    x = 102,715,966.44/11,505.16
  6. Step 6: Final answer
    x = 8,927.82

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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.