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Finding the Fourth Proportional to 8,292.38, 12,444.03 and 3,098.25

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Solution

The fourth proportional to 8,292.38, 12,444.03 and 3,098.25 is: 4,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.38 : 12,444.03 = 3,098.25 : x
  2. Step 2: Convert to fraction form
    8,292.38/12,444.03 = 3,098.25/x
  3. Step 3: Cross multiply
    8,292.38x = 12,444.03 × 3,098.25
  4. Step 4: Simplify right side
    8,292.38x = 38,554,715.95
  5. Step 5: Solve for x
    x = 38,554,715.95/8,292.38
  6. Step 6: Final answer
    x = 4,649.42

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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.