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Finding the Fourth Proportional to 7,297.16, 10,919.80 and 5,344.52

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Solution

The fourth proportional to 7,297.16, 10,919.80 and 5,344.52 is: 7,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.16 : 10,919.80 = 5,344.52 : x
  2. Step 2: Convert to fraction form
    7,297.16/10,919.80 = 5,344.52/x
  3. Step 3: Cross multiply
    7,297.16x = 10,919.80 × 5,344.52
  4. Step 4: Simplify right side
    7,297.16x = 58,361,089.50
  5. Step 5: Solve for x
    x = 58,361,089.50/7,297.16
  6. Step 6: Final answer
    x = 7,997.78

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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.