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Finding the Fourth Proportional to 8,292, 12,429.84 and 3,358.56

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Solution

The fourth proportional to 8,292, 12,429.84 and 3,358.56 is: 5,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292 : 12,429.84 = 3,358.56 : x
  2. Step 2: Convert to fraction form
    8,292/12,429.84 = 3,358.56/x
  3. Step 3: Cross multiply
    8,292x = 12,429.84 × 3,358.56
  4. Step 4: Simplify right side
    8,292x = 41,746,363.43
  5. Step 5: Solve for x
    x = 41,746,363.43/8,292
  6. Step 6: Final answer
    x = 5,034.53

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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.