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Finding the Fourth Proportional to 7,524.72, 10,384.65 and 4,540.39

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Solution

The fourth proportional to 7,524.72, 10,384.65 and 4,540.39 is: 6,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.72 : 10,384.65 = 4,540.39 : x
  2. Step 2: Convert to fraction form
    7,524.72/10,384.65 = 4,540.39/x
  3. Step 3: Cross multiply
    7,524.72x = 10,384.65 × 4,540.39
  4. Step 4: Simplify right side
    7,524.72x = 47,150,335.05
  5. Step 5: Solve for x
    x = 47,150,335.05/7,524.72
  6. Step 6: Final answer
    x = 6,266.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.