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Finding the Fourth Proportional to 8,542.74, 12,813.78 and 2,996.40

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Solution

The fourth proportional to 8,542.74, 12,813.78 and 2,996.40 is: 4,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.74 : 12,813.78 = 2,996.40 : x
  2. Step 2: Convert to fraction form
    8,542.74/12,813.78 = 2,996.40/x
  3. Step 3: Cross multiply
    8,542.74x = 12,813.78 × 2,996.40
  4. Step 4: Simplify right side
    8,542.74x = 38,395,210.39
  5. Step 5: Solve for x
    x = 38,395,210.39/8,542.74
  6. Step 6: Final answer
    x = 4,494.48

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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.