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Finding the Fourth Proportional to 8,107.16, 12,160.79 and 2,263.82

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Solution

The fourth proportional to 8,107.16, 12,160.79 and 2,263.82 is: 3,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.16 : 12,160.79 = 2,263.82 : x
  2. Step 2: Convert to fraction form
    8,107.16/12,160.79 = 2,263.82/x
  3. Step 3: Cross multiply
    8,107.16x = 12,160.79 × 2,263.82
  4. Step 4: Simplify right side
    8,107.16x = 27,529,867.19
  5. Step 5: Solve for x
    x = 27,529,867.19/8,107.16
  6. Step 6: Final answer
    x = 3,395.75

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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.