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Finding the Fourth Proportional to 8,107.63, 12,161.54 and 2,263.88

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Solution

The fourth proportional to 8,107.63, 12,161.54 and 2,263.88 is: 3,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.63 : 12,161.54 = 2,263.88 : x
  2. Step 2: Convert to fraction form
    8,107.63/12,161.54 = 2,263.88/x
  3. Step 3: Cross multiply
    8,107.63x = 12,161.54 × 2,263.88
  4. Step 4: Simplify right side
    8,107.63x = 27,532,303.24
  5. Step 5: Solve for x
    x = 27,532,303.24/8,107.63
  6. Step 6: Final answer
    x = 3,395.85

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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.