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Finding the Fourth Proportional to 8,687, 11,997.96 and 5,887.64

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Solution

The fourth proportional to 8,687, 11,997.96 and 5,887.64 is: 8,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687 : 11,997.96 = 5,887.64 : x
  2. Step 2: Convert to fraction form
    8,687/11,997.96 = 5,887.64/x
  3. Step 3: Cross multiply
    8,687x = 11,997.96 × 5,887.64
  4. Step 4: Simplify right side
    8,687x = 70,639,669.21
  5. Step 5: Solve for x
    x = 70,639,669.21/8,687
  6. Step 6: Final answer
    x = 8,131.65

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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.