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Finding the Fourth Proportional to 8,239.68, 11,358.86 and 5,877.72

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Solution

The fourth proportional to 8,239.68, 11,358.86 and 5,877.72 is: 8,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.68 : 11,358.86 = 5,877.72 : x
  2. Step 2: Convert to fraction form
    8,239.68/11,358.86 = 5,877.72/x
  3. Step 3: Cross multiply
    8,239.68x = 11,358.86 × 5,877.72
  4. Step 4: Simplify right side
    8,239.68x = 66,764,169.21
  5. Step 5: Solve for x
    x = 66,764,169.21/8,239.68
  6. Step 6: Final answer
    x = 8,102.76

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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.