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Finding the Fourth Proportional to 27,807.48, 41,715.29 and 8,083.49

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Solution

The fourth proportional to 27,807.48, 41,715.29 and 8,083.49 is: 12,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.48 : 41,715.29 = 8,083.49 : x
  2. Step 2: Convert to fraction form
    27,807.48/41,715.29 = 8,083.49/x
  3. Step 3: Cross multiply
    27,807.48x = 41,715.29 × 8,083.49
  4. Step 4: Simplify right side
    27,807.48x = 337,204,941.19
  5. Step 5: Solve for x
    x = 337,204,941.19/27,807.48
  6. Step 6: Final answer
    x = 12,126.41

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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.