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Finding the Fourth Proportional to 8,542.12, 12,817.02 and 4,640.68

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Solution

The fourth proportional to 8,542.12, 12,817.02 and 4,640.68 is: 6,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.12 : 12,817.02 = 4,640.68 : x
  2. Step 2: Convert to fraction form
    8,542.12/12,817.02 = 4,640.68/x
  3. Step 3: Cross multiply
    8,542.12x = 12,817.02 × 4,640.68
  4. Step 4: Simplify right side
    8,542.12x = 59,479,688.37
  5. Step 5: Solve for x
    x = 59,479,688.37/8,542.12
  6. Step 6: Final answer
    x = 6,963.11

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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.