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Finding the Fourth Proportional to 8,292.84, 11,442.82 and 5,149

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Solution

The fourth proportional to 8,292.84, 11,442.82 and 5,149 is: 7,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.84 : 11,442.82 = 5,149 : x
  2. Step 2: Convert to fraction form
    8,292.84/11,442.82 = 5,149/x
  3. Step 3: Cross multiply
    8,292.84x = 11,442.82 × 5,149
  4. Step 4: Simplify right side
    8,292.84x = 58,919,080.18
  5. Step 5: Solve for x
    x = 58,919,080.18/8,292.84
  6. Step 6: Final answer
    x = 7,104.81

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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.