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Finding the Fourth Proportional to 7,924.16, 11,874.90 and 4,454.12

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Solution

The fourth proportional to 7,924.16, 11,874.90 and 4,454.12 is: 6,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.16 : 11,874.90 = 4,454.12 : x
  2. Step 2: Convert to fraction form
    7,924.16/11,874.90 = 4,454.12/x
  3. Step 3: Cross multiply
    7,924.16x = 11,874.90 × 4,454.12
  4. Step 4: Simplify right side
    7,924.16x = 52,892,229.59
  5. Step 5: Solve for x
    x = 52,892,229.59/7,924.16
  6. Step 6: Final answer
    x = 6,674.81

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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.