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Finding the Fourth Proportional to 8,542.40, 12,815.40 and 3,348.26

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Solution

The fourth proportional to 8,542.40, 12,815.40 and 3,348.26 is: 5,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.40 : 12,815.40 = 3,348.26 : x
  2. Step 2: Convert to fraction form
    8,542.40/12,815.40 = 3,348.26/x
  3. Step 3: Cross multiply
    8,542.40x = 12,815.40 × 3,348.26
  4. Step 4: Simplify right side
    8,542.40x = 42,909,291.20
  5. Step 5: Solve for x
    x = 42,909,291.20/8,542.40
  6. Step 6: Final answer
    x = 5,023.10

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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.