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Finding the Fourth Proportional to 8,097.38, 11,149.88 and 6,915.86

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Solution

The fourth proportional to 8,097.38, 11,149.88 and 6,915.86 is: 9,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.38 : 11,149.88 = 6,915.86 : x
  2. Step 2: Convert to fraction form
    8,097.38/11,149.88 = 6,915.86/x
  3. Step 3: Cross multiply
    8,097.38x = 11,149.88 × 6,915.86
  4. Step 4: Simplify right side
    8,097.38x = 77,111,009.10
  5. Step 5: Solve for x
    x = 77,111,009.10/8,097.38
  6. Step 6: Final answer
    x = 9,522.96

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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.