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Finding the Fourth Proportional to 7,861.60, 11,776.57 and 3,638.90

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Solution

The fourth proportional to 7,861.60, 11,776.57 and 3,638.90 is: 5,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.60 : 11,776.57 = 3,638.90 : x
  2. Step 2: Convert to fraction form
    7,861.60/11,776.57 = 3,638.90/x
  3. Step 3: Cross multiply
    7,861.60x = 11,776.57 × 3,638.90
  4. Step 4: Simplify right side
    7,861.60x = 42,853,760.57
  5. Step 5: Solve for x
    x = 42,853,760.57/7,861.60
  6. Step 6: Final answer
    x = 5,451.02

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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.