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Finding the Fourth Proportional to 8,542.02, 12,805.74 and 3,346.68

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Solution

The fourth proportional to 8,542.02, 12,805.74 and 3,346.68 is: 5,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.02 : 12,805.74 = 3,346.68 : x
  2. Step 2: Convert to fraction form
    8,542.02/12,805.74 = 3,346.68/x
  3. Step 3: Cross multiply
    8,542.02x = 12,805.74 × 3,346.68
  4. Step 4: Simplify right side
    8,542.02x = 42,856,713.94
  5. Step 5: Solve for x
    x = 42,856,713.94/8,542.02
  6. Step 6: Final answer
    x = 5,017.16

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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.