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Finding the Fourth Proportional to 8,137.89, 12,205.13 and 2,292.93

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Solution

The fourth proportional to 8,137.89, 12,205.13 and 2,292.93 is: 3,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.89 : 12,205.13 = 2,292.93 : x
  2. Step 2: Convert to fraction form
    8,137.89/12,205.13 = 2,292.93/x
  3. Step 3: Cross multiply
    8,137.89x = 12,205.13 × 2,292.93
  4. Step 4: Simplify right side
    8,137.89x = 27,985,497.27
  5. Step 5: Solve for x
    x = 27,985,497.27/8,137.89
  6. Step 6: Final answer
    x = 3,438.91

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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.