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Finding the Fourth Proportional to 6,861.16, 10,291.74 and 3,773.80

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Solution

The fourth proportional to 6,861.16, 10,291.74 and 3,773.80 is: 5,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.16 : 10,291.74 = 3,773.80 : x
  2. Step 2: Convert to fraction form
    6,861.16/10,291.74 = 3,773.80/x
  3. Step 3: Cross multiply
    6,861.16x = 10,291.74 × 3,773.80
  4. Step 4: Simplify right side
    6,861.16x = 38,838,968.41
  5. Step 5: Solve for x
    x = 38,838,968.41/6,861.16
  6. Step 6: Final answer
    x = 5,660.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.