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Finding the Fourth Proportional to 10,078.70, 15,127.44 and 5,151.86

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Solution

The fourth proportional to 10,078.70, 15,127.44 and 5,151.86 is: 7,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.70 : 15,127.44 = 5,151.86 : x
  2. Step 2: Convert to fraction form
    10,078.70/15,127.44 = 5,151.86/x
  3. Step 3: Cross multiply
    10,078.70x = 15,127.44 × 5,151.86
  4. Step 4: Simplify right side
    10,078.70x = 77,934,453.04
  5. Step 5: Solve for x
    x = 77,934,453.04/10,078.70
  6. Step 6: Final answer
    x = 7,732.59

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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.