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Finding the Fourth Proportional to 8,338.92, 11,498.50 and 5,681

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Solution

The fourth proportional to 8,338.92, 11,498.50 and 5,681 is: 7,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.92 : 11,498.50 = 5,681 : x
  2. Step 2: Convert to fraction form
    8,338.92/11,498.50 = 5,681/x
  3. Step 3: Cross multiply
    8,338.92x = 11,498.50 × 5,681
  4. Step 4: Simplify right side
    8,338.92x = 65,322,978.50
  5. Step 5: Solve for x
    x = 65,322,978.50/8,338.92
  6. Step 6: Final answer
    x = 7,833.51

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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.