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Finding the Fourth Proportional to 10,922.76, 15,073.40 and 5,954.76

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Solution

The fourth proportional to 10,922.76, 15,073.40 and 5,954.76 is: 8,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.76 : 15,073.40 = 5,954.76 : x
  2. Step 2: Convert to fraction form
    10,922.76/15,073.40 = 5,954.76/x
  3. Step 3: Cross multiply
    10,922.76x = 15,073.40 × 5,954.76
  4. Step 4: Simplify right side
    10,922.76x = 89,758,479.38
  5. Step 5: Solve for x
    x = 89,758,479.38/10,922.76
  6. Step 6: Final answer
    x = 8,217.56

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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.