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Finding the Fourth Proportional to 11,505.38, 15,877.42 and 6,469.54

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Solution

The fourth proportional to 11,505.38, 15,877.42 and 6,469.54 is: 8,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.38 : 15,877.42 = 6,469.54 : x
  2. Step 2: Convert to fraction form
    11,505.38/15,877.42 = 6,469.54/x
  3. Step 3: Cross multiply
    11,505.38x = 15,877.42 × 6,469.54
  4. Step 4: Simplify right side
    11,505.38x = 102,719,547.92
  5. Step 5: Solve for x
    x = 102,719,547.92/11,505.38
  6. Step 6: Final answer
    x = 8,927.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.