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Finding the Fourth Proportional to 8,108.61, 11,189.87 and 4,382.61

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Solution

The fourth proportional to 8,108.61, 11,189.87 and 4,382.61 is: 6,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.61 : 11,189.87 = 4,382.61 : x
  2. Step 2: Convert to fraction form
    8,108.61/11,189.87 = 4,382.61/x
  3. Step 3: Cross multiply
    8,108.61x = 11,189.87 × 4,382.61
  4. Step 4: Simplify right side
    8,108.61x = 49,040,826.14
  5. Step 5: Solve for x
    x = 49,040,826.14/8,108.61
  6. Step 6: Final answer
    x = 6,048.00

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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.