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Finding the Fourth Proportional to 10,772.52, 14,850.02 and 6,577.96

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Solution

The fourth proportional to 10,772.52, 14,850.02 and 6,577.96 is: 9,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.52 : 14,850.02 = 6,577.96 : x
  2. Step 2: Convert to fraction form
    10,772.52/14,850.02 = 6,577.96/x
  3. Step 3: Cross multiply
    10,772.52x = 14,850.02 × 6,577.96
  4. Step 4: Simplify right side
    10,772.52x = 97,682,837.56
  5. Step 5: Solve for x
    x = 97,682,837.56/10,772.52
  6. Step 6: Final answer
    x = 9,067.78

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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.