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Finding the Fourth Proportional to 8,882.84, 12,257.89 and 5,103.34

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Solution

The fourth proportional to 8,882.84, 12,257.89 and 5,103.34 is: 7,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.84 : 12,257.89 = 5,103.34 : x
  2. Step 2: Convert to fraction form
    8,882.84/12,257.89 = 5,103.34/x
  3. Step 3: Cross multiply
    8,882.84x = 12,257.89 × 5,103.34
  4. Step 4: Simplify right side
    8,882.84x = 62,556,136.95
  5. Step 5: Solve for x
    x = 62,556,136.95/8,882.84
  6. Step 6: Final answer
    x = 7,042.36

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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.