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Finding the Fourth Proportional to 7,873.92, 11,824.04 and 4,919.24

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Solution

The fourth proportional to 7,873.92, 11,824.04 and 4,919.24 is: 7,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.92 : 11,824.04 = 4,919.24 : x
  2. Step 2: Convert to fraction form
    7,873.92/11,824.04 = 4,919.24/x
  3. Step 3: Cross multiply
    7,873.92x = 11,824.04 × 4,919.24
  4. Step 4: Simplify right side
    7,873.92x = 58,165,290.53
  5. Step 5: Solve for x
    x = 58,165,290.53/7,873.92
  6. Step 6: Final answer
    x = 7,387.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.