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Finding the Fourth Proportional to 10,106.52, 15,165.05 and 7,640.61

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Solution

The fourth proportional to 10,106.52, 15,165.05 and 7,640.61 is: 11,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.52 : 15,165.05 = 7,640.61 : x
  2. Step 2: Convert to fraction form
    10,106.52/15,165.05 = 7,640.61/x
  3. Step 3: Cross multiply
    10,106.52x = 15,165.05 × 7,640.61
  4. Step 4: Simplify right side
    10,106.52x = 115,870,194.48
  5. Step 5: Solve for x
    x = 115,870,194.48/10,106.52
  6. Step 6: Final answer
    x = 11,464.90

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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.