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Finding the Fourth Proportional to 8,542.10, 12,811.98 and 2,302.40

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Solution

The fourth proportional to 8,542.10, 12,811.98 and 2,302.40 is: 3,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.10 : 12,811.98 = 2,302.40 : x
  2. Step 2: Convert to fraction form
    8,542.10/12,811.98 = 2,302.40/x
  3. Step 3: Cross multiply
    8,542.10x = 12,811.98 × 2,302.40
  4. Step 4: Simplify right side
    8,542.10x = 29,498,302.75
  5. Step 5: Solve for x
    x = 29,498,302.75/8,542.10
  6. Step 6: Final answer
    x = 3,453.28

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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.