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Finding the Fourth Proportional to 10,687.89, 14,749.24 and 5,972.17

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Solution

The fourth proportional to 10,687.89, 14,749.24 and 5,972.17 is: 8,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.89 : 14,749.24 = 5,972.17 : x
  2. Step 2: Convert to fraction form
    10,687.89/14,749.24 = 5,972.17/x
  3. Step 3: Cross multiply
    10,687.89x = 14,749.24 × 5,972.17
  4. Step 4: Simplify right side
    10,687.89x = 88,084,976.12
  5. Step 5: Solve for x
    x = 88,084,976.12/10,687.89
  6. Step 6: Final answer
    x = 8,241.57

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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.