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Finding the Fourth Proportional to 27,531.57, 41,297.33 and 7,810.30

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Solution

The fourth proportional to 27,531.57, 41,297.33 and 7,810.30 is: 11,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,531.57 : 41,297.33 = 7,810.30 : x
  2. Step 2: Convert to fraction form
    27,531.57/41,297.33 = 7,810.30/x
  3. Step 3: Cross multiply
    27,531.57x = 41,297.33 × 7,810.30
  4. Step 4: Simplify right side
    27,531.57x = 322,544,452.78
  5. Step 5: Solve for x
    x = 322,544,452.78/27,531.57
  6. Step 6: Final answer
    x = 11,715.44

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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.