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Finding the Fourth Proportional to 8,134.65, 12,201.92 and 2,291.13

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Solution

The fourth proportional to 8,134.65, 12,201.92 and 2,291.13 is: 3,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.65 : 12,201.92 = 2,291.13 : x
  2. Step 2: Convert to fraction form
    8,134.65/12,201.92 = 2,291.13/x
  3. Step 3: Cross multiply
    8,134.65x = 12,201.92 × 2,291.13
  4. Step 4: Simplify right side
    8,134.65x = 27,956,173.51
  5. Step 5: Solve for x
    x = 27,956,173.51/8,134.65
  6. Step 6: Final answer
    x = 3,436.68

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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.