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Finding the Fourth Proportional to 10,660.32, 14,710.68 and 5,944.86

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Solution

The fourth proportional to 10,660.32, 14,710.68 and 5,944.86 is: 8,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.32 : 14,710.68 = 5,944.86 : x
  2. Step 2: Convert to fraction form
    10,660.32/14,710.68 = 5,944.86/x
  3. Step 3: Cross multiply
    10,660.32x = 14,710.68 × 5,944.86
  4. Step 4: Simplify right side
    10,660.32x = 87,452,933.10
  5. Step 5: Solve for x
    x = 87,452,933.10/10,660.32
  6. Step 6: Final answer
    x = 8,203.59

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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.