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Finding the Fourth Proportional to 11,657.97, 17,487.56 and 3,339.22

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Solution

The fourth proportional to 11,657.97, 17,487.56 and 3,339.22 is: 5,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.97 : 17,487.56 = 3,339.22 : x
  2. Step 2: Convert to fraction form
    11,657.97/17,487.56 = 3,339.22/x
  3. Step 3: Cross multiply
    11,657.97x = 17,487.56 × 3,339.22
  4. Step 4: Simplify right side
    11,657.97x = 58,394,749.69
  5. Step 5: Solve for x
    x = 58,394,749.69/11,657.97
  6. Step 6: Final answer
    x = 5,009.00

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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.