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Finding the Fourth Proportional to 10,672.14, 14,727.78 and 5,956.32

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Solution

The fourth proportional to 10,672.14, 14,727.78 and 5,956.32 is: 8,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.14 : 14,727.78 = 5,956.32 : x
  2. Step 2: Convert to fraction form
    10,672.14/14,727.78 = 5,956.32/x
  3. Step 3: Cross multiply
    10,672.14x = 14,727.78 × 5,956.32
  4. Step 4: Simplify right side
    10,672.14x = 87,723,370.57
  5. Step 5: Solve for x
    x = 87,723,370.57/10,672.14
  6. Step 6: Final answer
    x = 8,219.85

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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.