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Finding the Fourth Proportional to 7,508.49, 11,262.42 and 2,578.32

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Solution

The fourth proportional to 7,508.49, 11,262.42 and 2,578.32 is: 3,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.49 : 11,262.42 = 2,578.32 : x
  2. Step 2: Convert to fraction form
    7,508.49/11,262.42 = 2,578.32/x
  3. Step 3: Cross multiply
    7,508.49x = 11,262.42 × 2,578.32
  4. Step 4: Simplify right side
    7,508.49x = 29,038,122.73
  5. Step 5: Solve for x
    x = 29,038,122.73/7,508.49
  6. Step 6: Final answer
    x = 3,867.37

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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.