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Finding the Fourth Proportional to 8,101, 11,182.26 and 5,618.44

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Solution

The fourth proportional to 8,101, 11,182.26 and 5,618.44 is: 7,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101 : 11,182.26 = 5,618.44 : x
  2. Step 2: Convert to fraction form
    8,101/11,182.26 = 5,618.44/x
  3. Step 3: Cross multiply
    8,101x = 11,182.26 × 5,618.44
  4. Step 4: Simplify right side
    8,101x = 62,826,856.87
  5. Step 5: Solve for x
    x = 62,826,856.87/8,101
  6. Step 6: Final answer
    x = 7,755.44

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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.