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Finding the Fourth Proportional to 7,401.47, 10,214.17 and 4,044.43

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Solution

The fourth proportional to 7,401.47, 10,214.17 and 4,044.43 is: 5,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.47 : 10,214.17 = 4,044.43 : x
  2. Step 2: Convert to fraction form
    7,401.47/10,214.17 = 4,044.43/x
  3. Step 3: Cross multiply
    7,401.47x = 10,214.17 × 4,044.43
  4. Step 4: Simplify right side
    7,401.47x = 41,310,459.93
  5. Step 5: Solve for x
    x = 41,310,459.93/7,401.47
  6. Step 6: Final answer
    x = 5,581.38

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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.