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Finding the Fourth Proportional to 7,578.24, 11,352 and 3,679.68

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Solution

The fourth proportional to 7,578.24, 11,352 and 3,679.68 is: 5,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.24 : 11,352 = 3,679.68 : x
  2. Step 2: Convert to fraction form
    7,578.24/11,352 = 3,679.68/x
  3. Step 3: Cross multiply
    7,578.24x = 11,352 × 3,679.68
  4. Step 4: Simplify right side
    7,578.24x = 41,771,727.36
  5. Step 5: Solve for x
    x = 41,771,727.36/7,578.24
  6. Step 6: Final answer
    x = 5,512.06

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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.