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Finding the Fourth Proportional to 27,110.85, 40,665.08 and 7,389.41

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Solution

The fourth proportional to 27,110.85, 40,665.08 and 7,389.41 is: 11,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.85 : 40,665.08 = 7,389.41 : x
  2. Step 2: Convert to fraction form
    27,110.85/40,665.08 = 7,389.41/x
  3. Step 3: Cross multiply
    27,110.85x = 40,665.08 × 7,389.41
  4. Step 4: Simplify right side
    27,110.85x = 300,490,727.00
  5. Step 5: Solve for x
    x = 300,490,727.00/27,110.85
  6. Step 6: Final answer
    x = 11,083.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.