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Finding the Fourth Proportional to 7,371.47, 11,044.89 and 3,205.24

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Solution

The fourth proportional to 7,371.47, 11,044.89 and 3,205.24 is: 4,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371.47 : 11,044.89 = 3,205.24 : x
  2. Step 2: Convert to fraction form
    7,371.47/11,044.89 = 3,205.24/x
  3. Step 3: Cross multiply
    7,371.47x = 11,044.89 × 3,205.24
  4. Step 4: Simplify right side
    7,371.47x = 35,401,495.61
  5. Step 5: Solve for x
    x = 35,401,495.61/7,371.47
  6. Step 6: Final answer
    x = 4,802.50

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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.