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Finding the Fourth Proportional to 10,253.92, 15,380.88 and 5,874.16

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Solution

The fourth proportional to 10,253.92, 15,380.88 and 5,874.16 is: 8,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.92 : 15,380.88 = 5,874.16 : x
  2. Step 2: Convert to fraction form
    10,253.92/15,380.88 = 5,874.16/x
  3. Step 3: Cross multiply
    10,253.92x = 15,380.88 × 5,874.16
  4. Step 4: Simplify right side
    10,253.92x = 90,349,750.06
  5. Step 5: Solve for x
    x = 90,349,750.06/10,253.92
  6. Step 6: Final answer
    x = 8,811.24

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Similar ratio
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1.5x scale

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.