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Finding the Fourth Proportional to 8,542.13, 12,812.16 and 2,302.70

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Solution

The fourth proportional to 8,542.13, 12,812.16 and 2,302.70 is: 3,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.13 : 12,812.16 = 2,302.70 : x
  2. Step 2: Convert to fraction form
    8,542.13/12,812.16 = 2,302.70/x
  3. Step 3: Cross multiply
    8,542.13x = 12,812.16 × 2,302.70
  4. Step 4: Simplify right side
    8,542.13x = 29,502,560.83
  5. Step 5: Solve for x
    x = 29,502,560.83/8,542.13
  6. Step 6: Final answer
    x = 3,453.77

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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.