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Finding the Fourth Proportional to 10,079.73, 13,911.75 and 6,493.68

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Solution

The fourth proportional to 10,079.73, 13,911.75 and 6,493.68 is: 8,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.73 : 13,911.75 = 6,493.68 : x
  2. Step 2: Convert to fraction form
    10,079.73/13,911.75 = 6,493.68/x
  3. Step 3: Cross multiply
    10,079.73x = 13,911.75 × 6,493.68
  4. Step 4: Simplify right side
    10,079.73x = 90,338,452.74
  5. Step 5: Solve for x
    x = 90,338,452.74/10,079.73
  6. Step 6: Final answer
    x = 8,962.39

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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.