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Finding the Fourth Proportional to 6,861.64, 10,290.92 and 4,089.10

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Solution

The fourth proportional to 6,861.64, 10,290.92 and 4,089.10 is: 6,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.64 : 10,290.92 = 4,089.10 : x
  2. Step 2: Convert to fraction form
    6,861.64/10,290.92 = 4,089.10/x
  3. Step 3: Cross multiply
    6,861.64x = 10,290.92 × 4,089.10
  4. Step 4: Simplify right side
    6,861.64x = 42,080,580.53
  5. Step 5: Solve for x
    x = 42,080,580.53/6,861.64
  6. Step 6: Final answer
    x = 6,132.73

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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.