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Finding the Fourth Proportional to 10,439.22, 15,660.27 and 5,509.20

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Solution

The fourth proportional to 10,439.22, 15,660.27 and 5,509.20 is: 8,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.22 : 15,660.27 = 5,509.20 : x
  2. Step 2: Convert to fraction form
    10,439.22/15,660.27 = 5,509.20/x
  3. Step 3: Cross multiply
    10,439.22x = 15,660.27 × 5,509.20
  4. Step 4: Simplify right side
    10,439.22x = 86,275,559.48
  5. Step 5: Solve for x
    x = 86,275,559.48/10,439.22
  6. Step 6: Final answer
    x = 8,264.56

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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.