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Finding the Fourth Proportional to 10,660.96, 14,712.86 and 5,945.24

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Solution

The fourth proportional to 10,660.96, 14,712.86 and 5,945.24 is: 8,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.96 : 14,712.86 = 5,945.24 : x
  2. Step 2: Convert to fraction form
    10,660.96/14,712.86 = 5,945.24/x
  3. Step 3: Cross multiply
    10,660.96x = 14,712.86 × 5,945.24
  4. Step 4: Simplify right side
    10,660.96x = 87,471,535.43
  5. Step 5: Solve for x
    x = 87,471,535.43/10,660.96
  6. Step 6: Final answer
    x = 8,204.85

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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.