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Finding the Fourth Proportional to 7,325.91, 10,974.29 and 3,418.47

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Solution

The fourth proportional to 7,325.91, 10,974.29 and 3,418.47 is: 5,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.91 : 10,974.29 = 3,418.47 : x
  2. Step 2: Convert to fraction form
    7,325.91/10,974.29 = 3,418.47/x
  3. Step 3: Cross multiply
    7,325.91x = 10,974.29 × 3,418.47
  4. Step 4: Simplify right side
    7,325.91x = 37,515,264.04
  5. Step 5: Solve for x
    x = 37,515,264.04/7,325.91
  6. Step 6: Final answer
    x = 5,120.90

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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.