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Finding the Fourth Proportional to 10,757.98, 16,147.01 and 5,496.63

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Solution

The fourth proportional to 10,757.98, 16,147.01 and 5,496.63 is: 8,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.98 : 16,147.01 = 5,496.63 : x
  2. Step 2: Convert to fraction form
    10,757.98/16,147.01 = 5,496.63/x
  3. Step 3: Cross multiply
    10,757.98x = 16,147.01 × 5,496.63
  4. Step 4: Simplify right side
    10,757.98x = 88,754,092.77
  5. Step 5: Solve for x
    x = 88,754,092.77/10,757.98
  6. Step 6: Final answer
    x = 8,250.07

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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.