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Finding the Fourth Proportional to 12,758.81, 17,610.62 and 8,282.30

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Solution

The fourth proportional to 12,758.81, 17,610.62 and 8,282.30 is: 11,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.81 : 17,610.62 = 8,282.30 : x
  2. Step 2: Convert to fraction form
    12,758.81/17,610.62 = 8,282.30/x
  3. Step 3: Cross multiply
    12,758.81x = 17,610.62 × 8,282.30
  4. Step 4: Simplify right side
    12,758.81x = 145,856,308.56
  5. Step 5: Solve for x
    x = 145,856,308.56/12,758.81
  6. Step 6: Final answer
    x = 11,431.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.