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Finding the Fourth Proportional to 8,912.39, 12,301.84 and 5,138.08

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Solution

The fourth proportional to 8,912.39, 12,301.84 and 5,138.08 is: 7,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.39 : 12,301.84 = 5,138.08 : x
  2. Step 2: Convert to fraction form
    8,912.39/12,301.84 = 5,138.08/x
  3. Step 3: Cross multiply
    8,912.39x = 12,301.84 × 5,138.08
  4. Step 4: Simplify right side
    8,912.39x = 63,207,838.07
  5. Step 5: Solve for x
    x = 63,207,838.07/8,912.39
  6. Step 6: Final answer
    x = 7,092.13

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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.