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Finding the Fourth Proportional to 7,451.68, 11,177.14 and 2,769.88

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Solution

The fourth proportional to 7,451.68, 11,177.14 and 2,769.88 is: 4,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.68 : 11,177.14 = 2,769.88 : x
  2. Step 2: Convert to fraction form
    7,451.68/11,177.14 = 2,769.88/x
  3. Step 3: Cross multiply
    7,451.68x = 11,177.14 × 2,769.88
  4. Step 4: Simplify right side
    7,451.68x = 30,959,327.83
  5. Step 5: Solve for x
    x = 30,959,327.83/7,451.68
  6. Step 6: Final answer
    x = 4,154.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.