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Finding the Fourth Proportional to 8,863.86, 12,229.90 and 5,716.26

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Solution

The fourth proportional to 8,863.86, 12,229.90 and 5,716.26 is: 7,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863.86 : 12,229.90 = 5,716.26 : x
  2. Step 2: Convert to fraction form
    8,863.86/12,229.90 = 5,716.26/x
  3. Step 3: Cross multiply
    8,863.86x = 12,229.90 × 5,716.26
  4. Step 4: Simplify right side
    8,863.86x = 69,909,288.17
  5. Step 5: Solve for x
    x = 69,909,288.17/8,863.86
  6. Step 6: Final answer
    x = 7,887.00

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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.