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Finding the Fourth Proportional to 10,791.96, 16,178.36 and 4,216.66

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Solution

The fourth proportional to 10,791.96, 16,178.36 and 4,216.66 is: 6,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.96 : 16,178.36 = 4,216.66 : x
  2. Step 2: Convert to fraction form
    10,791.96/16,178.36 = 4,216.66/x
  3. Step 3: Cross multiply
    10,791.96x = 16,178.36 × 4,216.66
  4. Step 4: Simplify right side
    10,791.96x = 68,218,643.48
  5. Step 5: Solve for x
    x = 68,218,643.48/10,791.96
  6. Step 6: Final answer
    x = 6,321.25

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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.