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Finding the Fourth Proportional to 11,663.34, 17,481.34 and 5,742.95

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Solution

The fourth proportional to 11,663.34, 17,481.34 and 5,742.95 is: 8,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.34 : 17,481.34 = 5,742.95 : x
  2. Step 2: Convert to fraction form
    11,663.34/17,481.34 = 5,742.95/x
  3. Step 3: Cross multiply
    11,663.34x = 17,481.34 × 5,742.95
  4. Step 4: Simplify right side
    11,663.34x = 100,394,495.81
  5. Step 5: Solve for x
    x = 100,394,495.81/11,663.34
  6. Step 6: Final answer
    x = 8,607.70

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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.