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Finding the Fourth Proportional to 8,069.06, 12,107 and 4,373.84

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Solution

The fourth proportional to 8,069.06, 12,107 and 4,373.84 is: 6,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.06 : 12,107 = 4,373.84 : x
  2. Step 2: Convert to fraction form
    8,069.06/12,107 = 4,373.84/x
  3. Step 3: Cross multiply
    8,069.06x = 12,107 × 4,373.84
  4. Step 4: Simplify right side
    8,069.06x = 52,954,080.88
  5. Step 5: Solve for x
    x = 52,954,080.88/8,069.06
  6. Step 6: Final answer
    x = 6,562.61

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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.