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Finding the Fourth Proportional to 8,106.63, 12,159.95 and 2,263.29

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Solution

The fourth proportional to 8,106.63, 12,159.95 and 2,263.29 is: 3,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.63 : 12,159.95 = 2,263.29 : x
  2. Step 2: Convert to fraction form
    8,106.63/12,159.95 = 2,263.29/x
  3. Step 3: Cross multiply
    8,106.63x = 12,159.95 × 2,263.29
  4. Step 4: Simplify right side
    8,106.63x = 27,521,481.92
  5. Step 5: Solve for x
    x = 27,521,481.92/8,106.63
  6. Step 6: Final answer
    x = 3,394.94

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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.