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Finding the Fourth Proportional to 8,122.95, 12,186.23 and 2,576.66

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Solution

The fourth proportional to 8,122.95, 12,186.23 and 2,576.66 is: 3,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.95 : 12,186.23 = 2,576.66 : x
  2. Step 2: Convert to fraction form
    8,122.95/12,186.23 = 2,576.66/x
  3. Step 3: Cross multiply
    8,122.95x = 12,186.23 × 2,576.66
  4. Step 4: Simplify right side
    8,122.95x = 31,399,697.58
  5. Step 5: Solve for x
    x = 31,399,697.58/8,122.95
  6. Step 6: Final answer
    x = 3,865.55

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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.