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Finding the Fourth Proportional to 10,505.20, 15,760.80 and 6,346.48

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Solution

The fourth proportional to 10,505.20, 15,760.80 and 6,346.48 is: 9,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.20 : 15,760.80 = 6,346.48 : x
  2. Step 2: Convert to fraction form
    10,505.20/15,760.80 = 6,346.48/x
  3. Step 3: Cross multiply
    10,505.20x = 15,760.80 × 6,346.48
  4. Step 4: Simplify right side
    10,505.20x = 100,025,601.98
  5. Step 5: Solve for x
    x = 100,025,601.98/10,505.20
  6. Step 6: Final answer
    x = 9,521.53

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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.