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Finding the Fourth Proportional to 8,069.13, 12,107.16 and 4,374

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Solution

The fourth proportional to 8,069.13, 12,107.16 and 4,374 is: 6,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.13 : 12,107.16 = 4,374 : x
  2. Step 2: Convert to fraction form
    8,069.13/12,107.16 = 4,374/x
  3. Step 3: Cross multiply
    8,069.13x = 12,107.16 × 4,374
  4. Step 4: Simplify right side
    8,069.13x = 52,956,717.84
  5. Step 5: Solve for x
    x = 52,956,717.84/8,069.13
  6. Step 6: Final answer
    x = 6,562.88

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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.