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Finding the Fourth Proportional to 8,564.80, 12,849.26 and 2,721.42

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Solution

The fourth proportional to 8,564.80, 12,849.26 and 2,721.42 is: 4,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.80 : 12,849.26 = 2,721.42 : x
  2. Step 2: Convert to fraction form
    8,564.80/12,849.26 = 2,721.42/x
  3. Step 3: Cross multiply
    8,564.80x = 12,849.26 × 2,721.42
  4. Step 4: Simplify right side
    8,564.80x = 34,968,155.30
  5. Step 5: Solve for x
    x = 34,968,155.30/8,564.80
  6. Step 6: Final answer
    x = 4,082.78

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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.