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Finding the Fourth Proportional to 10,399.20, 15,598.80 and 5,215.20

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Solution

The fourth proportional to 10,399.20, 15,598.80 and 5,215.20 is: 7,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.20 : 15,598.80 = 5,215.20 : x
  2. Step 2: Convert to fraction form
    10,399.20/15,598.80 = 5,215.20/x
  3. Step 3: Cross multiply
    10,399.20x = 15,598.80 × 5,215.20
  4. Step 4: Simplify right side
    10,399.20x = 81,350,861.76
  5. Step 5: Solve for x
    x = 81,350,861.76/10,399.20
  6. Step 6: Final answer
    x = 7,822.80

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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.