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Finding the Fourth Proportional to 8,249.70, 12,374.55 and 8,201.10

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Solution

The fourth proportional to 8,249.70, 12,374.55 and 8,201.10 is: 12,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.70 : 12,374.55 = 8,201.10 : x
  2. Step 2: Convert to fraction form
    8,249.70/12,374.55 = 8,201.10/x
  3. Step 3: Cross multiply
    8,249.70x = 12,374.55 × 8,201.10
  4. Step 4: Simplify right side
    8,249.70x = 101,484,922.01
  5. Step 5: Solve for x
    x = 101,484,922.01/8,249.70
  6. Step 6: Final answer
    x = 12,301.65

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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.