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Finding the Fourth Proportional to 6,517.83, 8,986.54 and 4,418.31

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Solution

The fourth proportional to 6,517.83, 8,986.54 and 4,418.31 is: 6,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.83 : 8,986.54 = 4,418.31 : x
  2. Step 2: Convert to fraction form
    6,517.83/8,986.54 = 4,418.31/x
  3. Step 3: Cross multiply
    6,517.83x = 8,986.54 × 4,418.31
  4. Step 4: Simplify right side
    6,517.83x = 39,705,319.55
  5. Step 5: Solve for x
    x = 39,705,319.55/6,517.83
  6. Step 6: Final answer
    x = 6,091.80

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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.