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Finding the Fourth Proportional to 10,850.14, 16,277.94 and 5,010.82

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Solution

The fourth proportional to 10,850.14, 16,277.94 and 5,010.82 is: 7,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.14 : 16,277.94 = 5,010.82 : x
  2. Step 2: Convert to fraction form
    10,850.14/16,277.94 = 5,010.82/x
  3. Step 3: Cross multiply
    10,850.14x = 16,277.94 × 5,010.82
  4. Step 4: Simplify right side
    10,850.14x = 81,565,827.31
  5. Step 5: Solve for x
    x = 81,565,827.31/10,850.14
  6. Step 6: Final answer
    x = 7,517.49

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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.