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Finding the Fourth Proportional to 10,862.10, 16,287.08 and 5,524.00

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Solution

The fourth proportional to 10,862.10, 16,287.08 and 5,524.00 is: 8,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.10 : 16,287.08 = 5,524.00 : x
  2. Step 2: Convert to fraction form
    10,862.10/16,287.08 = 5,524.00/x
  3. Step 3: Cross multiply
    10,862.10x = 16,287.08 × 5,524.00
  4. Step 4: Simplify right side
    10,862.10x = 89,969,761.58
  5. Step 5: Solve for x
    x = 89,969,761.58/10,862.10
  6. Step 6: Final answer
    x = 8,282.91

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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.