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Finding the Fourth Proportional to 11,462.54, 15,819.42 and 6,426.76

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Solution

The fourth proportional to 11,462.54, 15,819.42 and 6,426.76 is: 8,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.54 : 15,819.42 = 6,426.76 : x
  2. Step 2: Convert to fraction form
    11,462.54/15,819.42 = 6,426.76/x
  3. Step 3: Cross multiply
    11,462.54x = 15,819.42 × 6,426.76
  4. Step 4: Simplify right side
    11,462.54x = 101,667,615.68
  5. Step 5: Solve for x
    x = 101,667,615.68/11,462.54
  6. Step 6: Final answer
    x = 8,869.55

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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.