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Finding the Fourth Proportional to 7,471.18, 11,201.28 and 3,578.32

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Solution

The fourth proportional to 7,471.18, 11,201.28 and 3,578.32 is: 5,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.18 : 11,201.28 = 3,578.32 : x
  2. Step 2: Convert to fraction form
    7,471.18/11,201.28 = 3,578.32/x
  3. Step 3: Cross multiply
    7,471.18x = 11,201.28 × 3,578.32
  4. Step 4: Simplify right side
    7,471.18x = 40,081,764.25
  5. Step 5: Solve for x
    x = 40,081,764.25/7,471.18
  6. Step 6: Final answer
    x = 5,364.85

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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.