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Finding the Fourth Proportional to 10,088.52, 13,922.12 and 5,899.20

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Solution

The fourth proportional to 10,088.52, 13,922.12 and 5,899.20 is: 8,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.52 : 13,922.12 = 5,899.20 : x
  2. Step 2: Convert to fraction form
    10,088.52/13,922.12 = 5,899.20/x
  3. Step 3: Cross multiply
    10,088.52x = 13,922.12 × 5,899.20
  4. Step 4: Simplify right side
    10,088.52x = 82,129,370.30
  5. Step 5: Solve for x
    x = 82,129,370.30/10,088.52
  6. Step 6: Final answer
    x = 8,140.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.