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Finding the Fourth Proportional to 5,265.57, 7,896.73 and 1,567.11

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Solution

The fourth proportional to 5,265.57, 7,896.73 and 1,567.11 is: 2,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.57 : 7,896.73 = 1,567.11 : x
  2. Step 2: Convert to fraction form
    5,265.57/7,896.73 = 1,567.11/x
  3. Step 3: Cross multiply
    5,265.57x = 7,896.73 × 1,567.11
  4. Step 4: Simplify right side
    5,265.57x = 12,375,044.55
  5. Step 5: Solve for x
    x = 12,375,044.55/5,265.57
  6. Step 6: Final answer
    x = 2,350.18

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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.