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Finding the Fourth Proportional to 6,105.77, 8,422.92 and 4,112.86

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Solution

The fourth proportional to 6,105.77, 8,422.92 and 4,112.86 is: 5,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.77 : 8,422.92 = 4,112.86 : x
  2. Step 2: Convert to fraction form
    6,105.77/8,422.92 = 4,112.86/x
  3. Step 3: Cross multiply
    6,105.77x = 8,422.92 × 4,112.86
  4. Step 4: Simplify right side
    6,105.77x = 34,642,290.75
  5. Step 5: Solve for x
    x = 34,642,290.75/6,105.77
  6. Step 6: Final answer
    x = 5,673.70

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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.