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Finding the Fourth Proportional to 8,135.49, 12,203.22 and 2,292.09

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Solution

The fourth proportional to 8,135.49, 12,203.22 and 2,292.09 is: 3,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.49 : 12,203.22 = 2,292.09 : x
  2. Step 2: Convert to fraction form
    8,135.49/12,203.22 = 2,292.09/x
  3. Step 3: Cross multiply
    8,135.49x = 12,203.22 × 2,292.09
  4. Step 4: Simplify right side
    8,135.49x = 27,970,878.53
  5. Step 5: Solve for x
    x = 27,970,878.53/8,135.49
  6. Step 6: Final answer
    x = 3,438.13

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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.