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Finding the Fourth Proportional to 8,542.30, 12,814.80 and 3,277.11

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Solution

The fourth proportional to 8,542.30, 12,814.80 and 3,277.11 is: 4,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.30 : 12,814.80 = 3,277.11 : x
  2. Step 2: Convert to fraction form
    8,542.30/12,814.80 = 3,277.11/x
  3. Step 3: Cross multiply
    8,542.30x = 12,814.80 × 3,277.11
  4. Step 4: Simplify right side
    8,542.30x = 41,995,445.15
  5. Step 5: Solve for x
    x = 41,995,445.15/8,542.30
  6. Step 6: Final answer
    x = 4,916.18

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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.