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Finding the Fourth Proportional to 11,456.67, 17,161.50 and 6,762.49

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Solution

The fourth proportional to 11,456.67, 17,161.50 and 6,762.49 is: 10,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.67 : 17,161.50 = 6,762.49 : x
  2. Step 2: Convert to fraction form
    11,456.67/17,161.50 = 6,762.49/x
  3. Step 3: Cross multiply
    11,456.67x = 17,161.50 × 6,762.49
  4. Step 4: Simplify right side
    11,456.67x = 116,054,454.59
  5. Step 5: Solve for x
    x = 116,054,454.59/11,456.67
  6. Step 6: Final answer
    x = 10,129.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.