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Finding the Fourth Proportional to 8,206.11, 12,309.17 and 4,507.65

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Solution

The fourth proportional to 8,206.11, 12,309.17 and 4,507.65 is: 6,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.11 : 12,309.17 = 4,507.65 : x
  2. Step 2: Convert to fraction form
    8,206.11/12,309.17 = 4,507.65/x
  3. Step 3: Cross multiply
    8,206.11x = 12,309.17 × 4,507.65
  4. Step 4: Simplify right side
    8,206.11x = 55,485,407.61
  5. Step 5: Solve for x
    x = 55,485,407.61/8,206.11
  6. Step 6: Final answer
    x = 6,761.48

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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.