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Finding the Fourth Proportional to 7,107.66, 10,642.83 and 5,016.33

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Solution

The fourth proportional to 7,107.66, 10,642.83 and 5,016.33 is: 7,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.66 : 10,642.83 = 5,016.33 : x
  2. Step 2: Convert to fraction form
    7,107.66/10,642.83 = 5,016.33/x
  3. Step 3: Cross multiply
    7,107.66x = 10,642.83 × 5,016.33
  4. Step 4: Simplify right side
    7,107.66x = 53,387,947.41
  5. Step 5: Solve for x
    x = 53,387,947.41/7,107.66
  6. Step 6: Final answer
    x = 7,511.33

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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.