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Finding the Fourth Proportional to 7,363.64, 11,044.24 and 3,414.74

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Solution

The fourth proportional to 7,363.64, 11,044.24 and 3,414.74 is: 5,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,363.64 : 11,044.24 = 3,414.74 : x
  2. Step 2: Convert to fraction form
    7,363.64/11,044.24 = 3,414.74/x
  3. Step 3: Cross multiply
    7,363.64x = 11,044.24 × 3,414.74
  4. Step 4: Simplify right side
    7,363.64x = 37,713,144.34
  5. Step 5: Solve for x
    x = 37,713,144.34/7,363.64
  6. Step 6: Final answer
    x = 5,121.53

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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.