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Finding the Fourth Proportional to 8,423.20, 12,635.28 and 3,742.16

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Solution

The fourth proportional to 8,423.20, 12,635.28 and 3,742.16 is: 5,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.20 : 12,635.28 = 3,742.16 : x
  2. Step 2: Convert to fraction form
    8,423.20/12,635.28 = 3,742.16/x
  3. Step 3: Cross multiply
    8,423.20x = 12,635.28 × 3,742.16
  4. Step 4: Simplify right side
    8,423.20x = 47,283,239.40
  5. Step 5: Solve for x
    x = 47,283,239.40/8,423.20
  6. Step 6: Final answer
    x = 5,613.45

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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.