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Finding the Fourth Proportional to 8,123.52, 12,198.78 and 5,064.96

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Solution

The fourth proportional to 8,123.52, 12,198.78 and 5,064.96 is: 7,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.52 : 12,198.78 = 5,064.96 : x
  2. Step 2: Convert to fraction form
    8,123.52/12,198.78 = 5,064.96/x
  3. Step 3: Cross multiply
    8,123.52x = 12,198.78 × 5,064.96
  4. Step 4: Simplify right side
    8,123.52x = 61,786,332.75
  5. Step 5: Solve for x
    x = 61,786,332.75/8,123.52
  6. Step 6: Final answer
    x = 7,605.86

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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.