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Finding the Fourth Proportional to 10,687.86, 14,749.32 and 5,972.22

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Solution

The fourth proportional to 10,687.86, 14,749.32 and 5,972.22 is: 8,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.86 : 14,749.32 = 5,972.22 : x
  2. Step 2: Convert to fraction form
    10,687.86/14,749.32 = 5,972.22/x
  3. Step 3: Cross multiply
    10,687.86x = 14,749.32 × 5,972.22
  4. Step 4: Simplify right side
    10,687.86x = 88,086,183.89
  5. Step 5: Solve for x
    x = 88,086,183.89/10,687.86
  6. Step 6: Final answer
    x = 8,241.70

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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.