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Finding the Fourth Proportional to 8,231.66, 12,349.89 and 2,686.59

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Solution

The fourth proportional to 8,231.66, 12,349.89 and 2,686.59 is: 4,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.66 : 12,349.89 = 2,686.59 : x
  2. Step 2: Convert to fraction form
    8,231.66/12,349.89 = 2,686.59/x
  3. Step 3: Cross multiply
    8,231.66x = 12,349.89 × 2,686.59
  4. Step 4: Simplify right side
    8,231.66x = 33,179,116.26
  5. Step 5: Solve for x
    x = 33,179,116.26/8,231.66
  6. Step 6: Final answer
    x = 4,030.67

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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.