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Finding the Fourth Proportional to 7,882.84, 11,824.51 and 2,951.54

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Solution

The fourth proportional to 7,882.84, 11,824.51 and 2,951.54 is: 4,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.84 : 11,824.51 = 2,951.54 : x
  2. Step 2: Convert to fraction form
    7,882.84/11,824.51 = 2,951.54/x
  3. Step 3: Cross multiply
    7,882.84x = 11,824.51 × 2,951.54
  4. Step 4: Simplify right side
    7,882.84x = 34,900,514.25
  5. Step 5: Solve for x
    x = 34,900,514.25/7,882.84
  6. Step 6: Final answer
    x = 4,427.40

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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.