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Finding the Fourth Proportional to 10,754.78, 16,132.43 and 5,207.09

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Solution

The fourth proportional to 10,754.78, 16,132.43 and 5,207.09 is: 7,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.78 : 16,132.43 = 5,207.09 : x
  2. Step 2: Convert to fraction form
    10,754.78/16,132.43 = 5,207.09/x
  3. Step 3: Cross multiply
    10,754.78x = 16,132.43 × 5,207.09
  4. Step 4: Simplify right side
    10,754.78x = 84,002,947.28
  5. Step 5: Solve for x
    x = 84,002,947.28/10,754.78
  6. Step 6: Final answer
    x = 7,810.76

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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.