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Finding the Fourth Proportional to 12,957.38, 17,882.09 and 7,292.67

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Solution

The fourth proportional to 12,957.38, 17,882.09 and 7,292.67 is: 10,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.38 : 17,882.09 = 7,292.67 : x
  2. Step 2: Convert to fraction form
    12,957.38/17,882.09 = 7,292.67/x
  3. Step 3: Cross multiply
    12,957.38x = 17,882.09 × 7,292.67
  4. Step 4: Simplify right side
    12,957.38x = 130,408,140.70
  5. Step 5: Solve for x
    x = 130,408,140.70/12,957.38
  6. Step 6: Final answer
    x = 10,064.39

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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.