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Finding the Fourth Proportional to 6,118.80, 8,447.45 and 4,029

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Solution

The fourth proportional to 6,118.80, 8,447.45 and 4,029 is: 5,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.80 : 8,447.45 = 4,029 : x
  2. Step 2: Convert to fraction form
    6,118.80/8,447.45 = 4,029/x
  3. Step 3: Cross multiply
    6,118.80x = 8,447.45 × 4,029
  4. Step 4: Simplify right side
    6,118.80x = 34,034,776.05
  5. Step 5: Solve for x
    x = 34,034,776.05/6,118.80
  6. Step 6: Final answer
    x = 5,562.33

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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.