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Finding the Fourth Proportional to 10,796.31, 16,194.53 and 3,005.13

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Solution

The fourth proportional to 10,796.31, 16,194.53 and 3,005.13 is: 4,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.31 : 16,194.53 = 3,005.13 : x
  2. Step 2: Convert to fraction form
    10,796.31/16,194.53 = 3,005.13/x
  3. Step 3: Cross multiply
    10,796.31x = 16,194.53 × 3,005.13
  4. Step 4: Simplify right side
    10,796.31x = 48,666,652.91
  5. Step 5: Solve for x
    x = 48,666,652.91/10,796.31
  6. Step 6: Final answer
    x = 4,507.71

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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.