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Finding the Fourth Proportional to 8,138.32, 12,208.74 and 2,874.02

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Solution

The fourth proportional to 8,138.32, 12,208.74 and 2,874.02 is: 4,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.32 : 12,208.74 = 2,874.02 : x
  2. Step 2: Convert to fraction form
    8,138.32/12,208.74 = 2,874.02/x
  3. Step 3: Cross multiply
    8,138.32x = 12,208.74 × 2,874.02
  4. Step 4: Simplify right side
    8,138.32x = 35,088,162.93
  5. Step 5: Solve for x
    x = 35,088,162.93/8,138.32
  6. Step 6: Final answer
    x = 4,311.47

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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.