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Finding the Fourth Proportional to 6,131.61, 8,454.15 and 5,185.71

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Solution

The fourth proportional to 6,131.61, 8,454.15 and 5,185.71 is: 7,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.61 : 8,454.15 = 5,185.71 : x
  2. Step 2: Convert to fraction form
    6,131.61/8,454.15 = 5,185.71/x
  3. Step 3: Cross multiply
    6,131.61x = 8,454.15 × 5,185.71
  4. Step 4: Simplify right side
    6,131.61x = 43,840,770.20
  5. Step 5: Solve for x
    x = 43,840,770.20/6,131.61
  6. Step 6: Final answer
    x = 7,149.96

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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.