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Finding the Fourth Proportional to 10,352.64, 15,520.32 and 3,423.36

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Solution

The fourth proportional to 10,352.64, 15,520.32 and 3,423.36 is: 5,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.64 : 15,520.32 = 3,423.36 : x
  2. Step 2: Convert to fraction form
    10,352.64/15,520.32 = 3,423.36/x
  3. Step 3: Cross multiply
    10,352.64x = 15,520.32 × 3,423.36
  4. Step 4: Simplify right side
    10,352.64x = 53,131,642.68
  5. Step 5: Solve for x
    x = 53,131,642.68/10,352.64
  6. Step 6: Final answer
    x = 5,132.18

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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.