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Finding the Fourth Proportional to 8,853.14, 12,204.51 and 6,192.29

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Solution

The fourth proportional to 8,853.14, 12,204.51 and 6,192.29 is: 8,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853.14 : 12,204.51 = 6,192.29 : x
  2. Step 2: Convert to fraction form
    8,853.14/12,204.51 = 6,192.29/x
  3. Step 3: Cross multiply
    8,853.14x = 12,204.51 × 6,192.29
  4. Step 4: Simplify right side
    8,853.14x = 75,573,872.52
  5. Step 5: Solve for x
    x = 75,573,872.52/8,853.14
  6. Step 6: Final answer
    x = 8,536.39

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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.