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Finding the Fourth Proportional to 8,397.16, 12,578.46 and 4,932.52

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Solution

The fourth proportional to 8,397.16, 12,578.46 and 4,932.52 is: 7,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.16 : 12,578.46 = 4,932.52 : x
  2. Step 2: Convert to fraction form
    8,397.16/12,578.46 = 4,932.52/x
  3. Step 3: Cross multiply
    8,397.16x = 12,578.46 × 4,932.52
  4. Step 4: Simplify right side
    8,397.16x = 62,043,505.52
  5. Step 5: Solve for x
    x = 62,043,505.52/8,397.16
  6. Step 6: Final answer
    x = 7,388.63

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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.