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Finding the Fourth Proportional to 7,578.40, 11,360.22 and 3,628.63

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Solution

The fourth proportional to 7,578.40, 11,360.22 and 3,628.63 is: 5,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.40 : 11,360.22 = 3,628.63 : x
  2. Step 2: Convert to fraction form
    7,578.40/11,360.22 = 3,628.63/x
  3. Step 3: Cross multiply
    7,578.40x = 11,360.22 × 3,628.63
  4. Step 4: Simplify right side
    7,578.40x = 41,222,035.10
  5. Step 5: Solve for x
    x = 41,222,035.10/7,578.40
  6. Step 6: Final answer
    x = 5,439.41

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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.