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Finding the Fourth Proportional to 8,135.54, 12,203.66 and 2,588.31

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Solution

The fourth proportional to 8,135.54, 12,203.66 and 2,588.31 is: 3,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.54 : 12,203.66 = 2,588.31 : x
  2. Step 2: Convert to fraction form
    8,135.54/12,203.66 = 2,588.31/x
  3. Step 3: Cross multiply
    8,135.54x = 12,203.66 × 2,588.31
  4. Step 4: Simplify right side
    8,135.54x = 31,586,842.27
  5. Step 5: Solve for x
    x = 31,586,842.27/8,135.54
  6. Step 6: Final answer
    x = 3,882.58

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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.