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Finding the Fourth Proportional to 8,106, 12,159.36 and 2,634

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Solution

The fourth proportional to 8,106, 12,159.36 and 2,634 is: 3,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106 : 12,159.36 = 2,634 : x
  2. Step 2: Convert to fraction form
    8,106/12,159.36 = 2,634/x
  3. Step 3: Cross multiply
    8,106x = 12,159.36 × 2,634
  4. Step 4: Simplify right side
    8,106x = 32,027,754.24
  5. Step 5: Solve for x
    x = 32,027,754.24/8,106
  6. Step 6: Final answer
    x = 3,951.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.