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Finding the Fourth Proportional to 8,564.68, 12,849 and 3,634.52

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Solution

The fourth proportional to 8,564.68, 12,849 and 3,634.52 is: 5,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.68 : 12,849 = 3,634.52 : x
  2. Step 2: Convert to fraction form
    8,564.68/12,849 = 3,634.52/x
  3. Step 3: Cross multiply
    8,564.68x = 12,849 × 3,634.52
  4. Step 4: Simplify right side
    8,564.68x = 46,699,947.48
  5. Step 5: Solve for x
    x = 46,699,947.48/8,564.68
  6. Step 6: Final answer
    x = 5,452.62

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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.