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Finding the Fourth Proportional to 8,206.68, 12,305.70 and 5,610.36

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Solution

The fourth proportional to 8,206.68, 12,305.70 and 5,610.36 is: 8,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.68 : 12,305.70 = 5,610.36 : x
  2. Step 2: Convert to fraction form
    8,206.68/12,305.70 = 5,610.36/x
  3. Step 3: Cross multiply
    8,206.68x = 12,305.70 × 5,610.36
  4. Step 4: Simplify right side
    8,206.68x = 69,039,407.05
  5. Step 5: Solve for x
    x = 69,039,407.05/8,206.68
  6. Step 6: Final answer
    x = 8,412.59

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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.