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Finding the Fourth Proportional to 8,542.67, 11,786.11 and 5,358.76

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Solution

The fourth proportional to 8,542.67, 11,786.11 and 5,358.76 is: 7,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.67 : 11,786.11 = 5,358.76 : x
  2. Step 2: Convert to fraction form
    8,542.67/11,786.11 = 5,358.76/x
  3. Step 3: Cross multiply
    8,542.67x = 11,786.11 × 5,358.76
  4. Step 4: Simplify right side
    8,542.67x = 63,158,891.96
  5. Step 5: Solve for x
    x = 63,158,891.96/8,542.67
  6. Step 6: Final answer
    x = 7,393.35

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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.