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Finding the Fourth Proportional to 10,957.30, 16,441.32 and 6,796.24

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Solution

The fourth proportional to 10,957.30, 16,441.32 and 6,796.24 is: 10,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.30 : 16,441.32 = 6,796.24 : x
  2. Step 2: Convert to fraction form
    10,957.30/16,441.32 = 6,796.24/x
  3. Step 3: Cross multiply
    10,957.30x = 16,441.32 × 6,796.24
  4. Step 4: Simplify right side
    10,957.30x = 111,739,156.64
  5. Step 5: Solve for x
    x = 111,739,156.64/10,957.30
  6. Step 6: Final answer
    x = 10,197.69

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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.