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Finding the Fourth Proportional to 8,107.11, 11,187.18 and 4,749.48

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Solution

The fourth proportional to 8,107.11, 11,187.18 and 4,749.48 is: 6,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.11 : 11,187.18 = 4,749.48 : x
  2. Step 2: Convert to fraction form
    8,107.11/11,187.18 = 4,749.48/x
  3. Step 3: Cross multiply
    8,107.11x = 11,187.18 × 4,749.48
  4. Step 4: Simplify right side
    8,107.11x = 53,133,287.67
  5. Step 5: Solve for x
    x = 53,133,287.67/8,107.11
  6. Step 6: Final answer
    x = 6,553.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.