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Finding the Fourth Proportional to 10,801.89, 16,193.16 and 4,232.66

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Solution

The fourth proportional to 10,801.89, 16,193.16 and 4,232.66 is: 6,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.89 : 16,193.16 = 4,232.66 : x
  2. Step 2: Convert to fraction form
    10,801.89/16,193.16 = 4,232.66/x
  3. Step 3: Cross multiply
    10,801.89x = 16,193.16 × 4,232.66
  4. Step 4: Simplify right side
    10,801.89x = 68,540,059.64
  5. Step 5: Solve for x
    x = 68,540,059.64/10,801.89
  6. Step 6: Final answer
    x = 6,345.19

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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.