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Finding the Fourth Proportional to 10,481.39, 14,464 and 5,765.66

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Solution

The fourth proportional to 10,481.39, 14,464 and 5,765.66 is: 7,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.39 : 14,464 = 5,765.66 : x
  2. Step 2: Convert to fraction form
    10,481.39/14,464 = 5,765.66/x
  3. Step 3: Cross multiply
    10,481.39x = 14,464 × 5,765.66
  4. Step 4: Simplify right side
    10,481.39x = 83,394,506.24
  5. Step 5: Solve for x
    x = 83,394,506.24/10,481.39
  6. Step 6: Final answer
    x = 7,956.44

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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.