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Finding the Fourth Proportional to 10,204.90, 15,293.09 and 5,514.80

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Solution

The fourth proportional to 10,204.90, 15,293.09 and 5,514.80 is: 8,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.90 : 15,293.09 = 5,514.80 : x
  2. Step 2: Convert to fraction form
    10,204.90/15,293.09 = 5,514.80/x
  3. Step 3: Cross multiply
    10,204.90x = 15,293.09 × 5,514.80
  4. Step 4: Simplify right side
    10,204.90x = 84,338,289.17
  5. Step 5: Solve for x
    x = 84,338,289.17/10,204.90
  6. Step 6: Final answer
    x = 8,264.49

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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.