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Finding the Fourth Proportional to 8,123.80, 12,186.14 and 2,576.72

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Solution

The fourth proportional to 8,123.80, 12,186.14 and 2,576.72 is: 3,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.80 : 12,186.14 = 2,576.72 : x
  2. Step 2: Convert to fraction form
    8,123.80/12,186.14 = 2,576.72/x
  3. Step 3: Cross multiply
    8,123.80x = 12,186.14 × 2,576.72
  4. Step 4: Simplify right side
    8,123.80x = 31,400,270.66
  5. Step 5: Solve for x
    x = 31,400,270.66/8,123.80
  6. Step 6: Final answer
    x = 3,865.22

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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.