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Finding the Fourth Proportional to 8,123.78, 12,186.09 and 2,280.84

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Solution

The fourth proportional to 8,123.78, 12,186.09 and 2,280.84 is: 3,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.78 : 12,186.09 = 2,280.84 : x
  2. Step 2: Convert to fraction form
    8,123.78/12,186.09 = 2,280.84/x
  3. Step 3: Cross multiply
    8,123.78x = 12,186.09 × 2,280.84
  4. Step 4: Simplify right side
    8,123.78x = 27,794,521.52
  5. Step 5: Solve for x
    x = 27,794,521.52/8,123.78
  6. Step 6: Final answer
    x = 3,421.38

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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.