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Finding the Fourth Proportional to 11,947.98, 16,489.75 and 7,232.34

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Solution

The fourth proportional to 11,947.98, 16,489.75 and 7,232.34 is: 9,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.98 : 16,489.75 = 7,232.34 : x
  2. Step 2: Convert to fraction form
    11,947.98/16,489.75 = 7,232.34/x
  3. Step 3: Cross multiply
    11,947.98x = 16,489.75 × 7,232.34
  4. Step 4: Simplify right side
    11,947.98x = 119,259,478.52
  5. Step 5: Solve for x
    x = 119,259,478.52/11,947.98
  6. Step 6: Final answer
    x = 9,981.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.