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Finding the Fourth Proportional to 7,937.44, 11,904.54 and 2,744.80

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Solution

The fourth proportional to 7,937.44, 11,904.54 and 2,744.80 is: 4,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.44 : 11,904.54 = 2,744.80 : x
  2. Step 2: Convert to fraction form
    7,937.44/11,904.54 = 2,744.80/x
  3. Step 3: Cross multiply
    7,937.44x = 11,904.54 × 2,744.80
  4. Step 4: Simplify right side
    7,937.44x = 32,675,581.39
  5. Step 5: Solve for x
    x = 32,675,581.39/7,937.44
  6. Step 6: Final answer
    x = 4,116.64

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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.