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Finding the Fourth Proportional to 11,107.28, 16,649.88 and 6,179.12

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Solution

The fourth proportional to 11,107.28, 16,649.88 and 6,179.12 is: 9,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.28 : 16,649.88 = 6,179.12 : x
  2. Step 2: Convert to fraction form
    11,107.28/16,649.88 = 6,179.12/x
  3. Step 3: Cross multiply
    11,107.28x = 16,649.88 × 6,179.12
  4. Step 4: Simplify right side
    11,107.28x = 102,881,606.51
  5. Step 5: Solve for x
    x = 102,881,606.51/11,107.28
  6. Step 6: Final answer
    x = 9,262.54

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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.