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Finding the Fourth Proportional to 10,723.80, 16,083.54 and 6,822.84

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Solution

The fourth proportional to 10,723.80, 16,083.54 and 6,822.84 is: 10,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.80 : 16,083.54 = 6,822.84 : x
  2. Step 2: Convert to fraction form
    10,723.80/16,083.54 = 6,822.84/x
  3. Step 3: Cross multiply
    10,723.80x = 16,083.54 × 6,822.84
  4. Step 4: Simplify right side
    10,723.80x = 109,735,420.05
  5. Step 5: Solve for x
    x = 109,735,420.05/10,723.80
  6. Step 6: Final answer
    x = 10,232.89

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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.