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Finding the Fourth Proportional to 11,288.70, 15,578.65 and 6,443.33

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Solution

The fourth proportional to 11,288.70, 15,578.65 and 6,443.33 is: 8,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.70 : 15,578.65 = 6,443.33 : x
  2. Step 2: Convert to fraction form
    11,288.70/15,578.65 = 6,443.33/x
  3. Step 3: Cross multiply
    11,288.70x = 15,578.65 × 6,443.33
  4. Step 4: Simplify right side
    11,288.70x = 100,378,305.01
  5. Step 5: Solve for x
    x = 100,378,305.01/11,288.70
  6. Step 6: Final answer
    x = 8,891.93

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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.