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Finding the Fourth Proportional to 27,578.36, 41,362.09 and 7,582.70

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Solution

The fourth proportional to 27,578.36, 41,362.09 and 7,582.70 is: 11,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.36 : 41,362.09 = 7,582.70 : x
  2. Step 2: Convert to fraction form
    27,578.36/41,362.09 = 7,582.70/x
  3. Step 3: Cross multiply
    27,578.36x = 41,362.09 × 7,582.70
  4. Step 4: Simplify right side
    27,578.36x = 313,636,214.28
  5. Step 5: Solve for x
    x = 313,636,214.28/27,578.36
  6. Step 6: Final answer
    x = 11,372.55

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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.