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Finding the Fourth Proportional to 10,857.19, 16,285.82 and 2,649.19

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Solution

The fourth proportional to 10,857.19, 16,285.82 and 2,649.19 is: 3,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.19 : 16,285.82 = 2,649.19 : x
  2. Step 2: Convert to fraction form
    10,857.19/16,285.82 = 2,649.19/x
  3. Step 3: Cross multiply
    10,857.19x = 16,285.82 × 2,649.19
  4. Step 4: Simplify right side
    10,857.19x = 43,144,231.49
  5. Step 5: Solve for x
    x = 43,144,231.49/10,857.19
  6. Step 6: Final answer
    x = 3,973.79

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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.