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Finding the Fourth Proportional to 11,553.14, 15,947.42 and 6,837.41

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Solution

The fourth proportional to 11,553.14, 15,947.42 and 6,837.41 is: 9,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.14 : 15,947.42 = 6,837.41 : x
  2. Step 2: Convert to fraction form
    11,553.14/15,947.42 = 6,837.41/x
  3. Step 3: Cross multiply
    11,553.14x = 15,947.42 × 6,837.41
  4. Step 4: Simplify right side
    11,553.14x = 109,038,935.06
  5. Step 5: Solve for x
    x = 109,038,935.06/11,553.14
  6. Step 6: Final answer
    x = 9,438.04

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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.