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Finding the Fourth Proportional to 6,137.12, 8,466.65 and 3,777.89

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Solution

The fourth proportional to 6,137.12, 8,466.65 and 3,777.89 is: 5,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.12 : 8,466.65 = 3,777.89 : x
  2. Step 2: Convert to fraction form
    6,137.12/8,466.65 = 3,777.89/x
  3. Step 3: Cross multiply
    6,137.12x = 8,466.65 × 3,777.89
  4. Step 4: Simplify right side
    6,137.12x = 31,986,083.56
  5. Step 5: Solve for x
    x = 31,986,083.56/6,137.12
  6. Step 6: Final answer
    x = 5,211.91

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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.