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Finding the Fourth Proportional to 7,401.63, 10,214.49 and 4,044.63

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Solution

The fourth proportional to 7,401.63, 10,214.49 and 4,044.63 is: 5,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.63 : 10,214.49 = 4,044.63 : x
  2. Step 2: Convert to fraction form
    7,401.63/10,214.49 = 4,044.63/x
  3. Step 3: Cross multiply
    7,401.63x = 10,214.49 × 4,044.63
  4. Step 4: Simplify right side
    7,401.63x = 41,313,832.69
  5. Step 5: Solve for x
    x = 41,313,832.69/7,401.63
  6. Step 6: Final answer
    x = 5,581.72

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