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Finding the Fourth Proportional to 10,902.83, 15,044.09 and 6,425.96

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Solution

The fourth proportional to 10,902.83, 15,044.09 and 6,425.96 is: 8,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.83 : 15,044.09 = 6,425.96 : x
  2. Step 2: Convert to fraction form
    10,902.83/15,044.09 = 6,425.96/x
  3. Step 3: Cross multiply
    10,902.83x = 15,044.09 × 6,425.96
  4. Step 4: Simplify right side
    10,902.83x = 96,672,613.23
  5. Step 5: Solve for x
    x = 96,672,613.23/10,902.83
  6. Step 6: Final answer
    x = 8,866.75

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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.