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Finding the Fourth Proportional to 7,371, 10,180.62 and 4,882.68

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Solution

The fourth proportional to 7,371, 10,180.62 and 4,882.68 is: 6,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371 : 10,180.62 = 4,882.68 : x
  2. Step 2: Convert to fraction form
    7,371/10,180.62 = 4,882.68/x
  3. Step 3: Cross multiply
    7,371x = 10,180.62 × 4,882.68
  4. Step 4: Simplify right side
    7,371x = 49,708,709.66
  5. Step 5: Solve for x
    x = 49,708,709.66/7,371
  6. Step 6: Final answer
    x = 6,743.82

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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.