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Finding the Fourth Proportional to 8,249.57, 12,374.92 and 3,319.22

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Solution

The fourth proportional to 8,249.57, 12,374.92 and 3,319.22 is: 4,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.57 : 12,374.92 = 3,319.22 : x
  2. Step 2: Convert to fraction form
    8,249.57/12,374.92 = 3,319.22/x
  3. Step 3: Cross multiply
    8,249.57x = 12,374.92 × 3,319.22
  4. Step 4: Simplify right side
    8,249.57x = 41,075,117.05
  5. Step 5: Solve for x
    x = 41,075,117.05/8,249.57
  6. Step 6: Final answer
    x = 4,979.06

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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.