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Finding the Fourth Proportional to 6,712.68, 10,057.86 and 2,327.76

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Solution

The fourth proportional to 6,712.68, 10,057.86 and 2,327.76 is: 3,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.68 : 10,057.86 = 2,327.76 : x
  2. Step 2: Convert to fraction form
    6,712.68/10,057.86 = 2,327.76/x
  3. Step 3: Cross multiply
    6,712.68x = 10,057.86 × 2,327.76
  4. Step 4: Simplify right side
    6,712.68x = 23,412,284.19
  5. Step 5: Solve for x
    x = 23,412,284.19/6,712.68
  6. Step 6: Final answer
    x = 3,487.77

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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.