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Finding the Fourth Proportional to 7,899.12, 10,902.49 and 5,387.22

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Solution

The fourth proportional to 7,899.12, 10,902.49 and 5,387.22 is: 7,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.12 : 10,902.49 = 5,387.22 : x
  2. Step 2: Convert to fraction form
    7,899.12/10,902.49 = 5,387.22/x
  3. Step 3: Cross multiply
    7,899.12x = 10,902.49 × 5,387.22
  4. Step 4: Simplify right side
    7,899.12x = 58,734,098.71
  5. Step 5: Solve for x
    x = 58,734,098.71/7,899.12
  6. Step 6: Final answer
    x = 7,435.52

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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.