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Finding the Fourth Proportional to 10,241.20, 15,350.80 and 5,849.20

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Solution

The fourth proportional to 10,241.20, 15,350.80 and 5,849.20 is: 8,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.20 : 15,350.80 = 5,849.20 : x
  2. Step 2: Convert to fraction form
    10,241.20/15,350.80 = 5,849.20/x
  3. Step 3: Cross multiply
    10,241.20x = 15,350.80 × 5,849.20
  4. Step 4: Simplify right side
    10,241.20x = 89,789,899.36
  5. Step 5: Solve for x
    x = 89,789,899.36/10,241.20
  6. Step 6: Final answer
    x = 8,767.52

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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.