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Finding the Fourth Proportional to 8,407.77, 12,611.76 and 2,861.23

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Solution

The fourth proportional to 8,407.77, 12,611.76 and 2,861.23 is: 4,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.77 : 12,611.76 = 2,861.23 : x
  2. Step 2: Convert to fraction form
    8,407.77/12,611.76 = 2,861.23/x
  3. Step 3: Cross multiply
    8,407.77x = 12,611.76 × 2,861.23
  4. Step 4: Simplify right side
    8,407.77x = 36,085,146.06
  5. Step 5: Solve for x
    x = 36,085,146.06/8,407.77
  6. Step 6: Final answer
    x = 4,291.88

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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.