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Finding the Fourth Proportional to 27,494.78, 41,244.81 and 7,773.98

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Solution

The fourth proportional to 27,494.78, 41,244.81 and 7,773.98 is: 11,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.78 : 41,244.81 = 7,773.98 : x
  2. Step 2: Convert to fraction form
    27,494.78/41,244.81 = 7,773.98/x
  3. Step 3: Cross multiply
    27,494.78x = 41,244.81 × 7,773.98
  4. Step 4: Simplify right side
    27,494.78x = 320,636,328.04
  5. Step 5: Solve for x
    x = 320,636,328.04/27,494.78
  6. Step 6: Final answer
    x = 11,661.72

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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.