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Finding the Fourth Proportional to 8,123.15, 12,189.58 and 7,462.19

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Solution

The fourth proportional to 8,123.15, 12,189.58 and 7,462.19 is: 11,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.15 : 12,189.58 = 7,462.19 : x
  2. Step 2: Convert to fraction form
    8,123.15/12,189.58 = 7,462.19/x
  3. Step 3: Cross multiply
    8,123.15x = 12,189.58 × 7,462.19
  4. Step 4: Simplify right side
    8,123.15x = 90,960,863.72
  5. Step 5: Solve for x
    x = 90,960,863.72/8,123.15
  6. Step 6: Final answer
    x = 11,197.74

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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.