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Finding the Fourth Proportional to 10,104.88, 15,132 and 6,395.92

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Solution

The fourth proportional to 10,104.88, 15,132 and 6,395.92 is: 9,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.88 : 15,132 = 6,395.92 : x
  2. Step 2: Convert to fraction form
    10,104.88/15,132 = 6,395.92/x
  3. Step 3: Cross multiply
    10,104.88x = 15,132 × 6,395.92
  4. Step 4: Simplify right side
    10,104.88x = 96,783,061.44
  5. Step 5: Solve for x
    x = 96,783,061.44/10,104.88
  6. Step 6: Final answer
    x = 9,577.85

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Why These Related Problems?

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