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Finding the Fourth Proportional to 10,224.80, 15,337.20 and 5,559.20

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Solution

The fourth proportional to 10,224.80, 15,337.20 and 5,559.20 is: 8,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.80 : 15,337.20 = 5,559.20 : x
  2. Step 2: Convert to fraction form
    10,224.80/15,337.20 = 5,559.20/x
  3. Step 3: Cross multiply
    10,224.80x = 15,337.20 × 5,559.20
  4. Step 4: Simplify right side
    10,224.80x = 85,262,562.24
  5. Step 5: Solve for x
    x = 85,262,562.24/10,224.80
  6. Step 6: Final answer
    x = 8,338.80

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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.