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Finding the Fourth Proportional to 8,641.33, 11,931.96 and 5,617.95

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Solution

The fourth proportional to 8,641.33, 11,931.96 and 5,617.95 is: 7,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.33 : 11,931.96 = 5,617.95 : x
  2. Step 2: Convert to fraction form
    8,641.33/11,931.96 = 5,617.95/x
  3. Step 3: Cross multiply
    8,641.33x = 11,931.96 × 5,617.95
  4. Step 4: Simplify right side
    8,641.33x = 67,033,154.68
  5. Step 5: Solve for x
    x = 67,033,154.68/8,641.33
  6. Step 6: Final answer
    x = 7,757.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.