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Finding the Fourth Proportional to 8,249.13, 12,368.84 and 3,314.61

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Solution

The fourth proportional to 8,249.13, 12,368.84 and 3,314.61 is: 4,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.13 : 12,368.84 = 3,314.61 : x
  2. Step 2: Convert to fraction form
    8,249.13/12,368.84 = 3,314.61/x
  3. Step 3: Cross multiply
    8,249.13x = 12,368.84 × 3,314.61
  4. Step 4: Simplify right side
    8,249.13x = 40,997,864.18
  5. Step 5: Solve for x
    x = 40,997,864.18/8,249.13
  6. Step 6: Final answer
    x = 4,969.96

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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.