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Finding the Fourth Proportional to 10,089, 15,101.15 and 5,397.28

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Solution

The fourth proportional to 10,089, 15,101.15 and 5,397.28 is: 8,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089 : 15,101.15 = 5,397.28 : x
  2. Step 2: Convert to fraction form
    10,089/15,101.15 = 5,397.28/x
  3. Step 3: Cross multiply
    10,089x = 15,101.15 × 5,397.28
  4. Step 4: Simplify right side
    10,089x = 81,505,134.87
  5. Step 5: Solve for x
    x = 81,505,134.87/10,089
  6. Step 6: Final answer
    x = 8,078.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.