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Finding the Fourth Proportional to 10,524.20, 15,767.10 and 8,565.80

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Solution

The fourth proportional to 10,524.20, 15,767.10 and 8,565.80 is: 12,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.20 : 15,767.10 = 8,565.80 : x
  2. Step 2: Convert to fraction form
    10,524.20/15,767.10 = 8,565.80/x
  3. Step 3: Cross multiply
    10,524.20x = 15,767.10 × 8,565.80
  4. Step 4: Simplify right side
    10,524.20x = 135,057,825.18
  5. Step 5: Solve for x
    x = 135,057,825.18/10,524.20
  6. Step 6: Final answer
    x = 12,833.07

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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.