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Finding the Fourth Proportional to 10,658.32, 14,707.86 and 5,942.92

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Solution

The fourth proportional to 10,658.32, 14,707.86 and 5,942.92 is: 8,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.32 : 14,707.86 = 5,942.92 : x
  2. Step 2: Convert to fraction form
    10,658.32/14,707.86 = 5,942.92/x
  3. Step 3: Cross multiply
    10,658.32x = 14,707.86 × 5,942.92
  4. Step 4: Simplify right side
    10,658.32x = 87,407,635.35
  5. Step 5: Solve for x
    x = 87,407,635.35/10,658.32
  6. Step 6: Final answer
    x = 8,200.88

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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.