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Finding the Fourth Proportional to 8,026.30, 12,037.01 and 2,182.15

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Solution

The fourth proportional to 8,026.30, 12,037.01 and 2,182.15 is: 3,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.30 : 12,037.01 = 2,182.15 : x
  2. Step 2: Convert to fraction form
    8,026.30/12,037.01 = 2,182.15/x
  3. Step 3: Cross multiply
    8,026.30x = 12,037.01 × 2,182.15
  4. Step 4: Simplify right side
    8,026.30x = 26,266,536.73
  5. Step 5: Solve for x
    x = 26,266,536.73/8,026.30
  6. Step 6: Final answer
    x = 3,272.56

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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.