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Finding the Fourth Proportional to 27,278.36, 40,912.97 and 7,558.91

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Solution

The fourth proportional to 27,278.36, 40,912.97 and 7,558.91 is: 11,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,278.36 : 40,912.97 = 7,558.91 : x
  2. Step 2: Convert to fraction form
    27,278.36/40,912.97 = 7,558.91/x
  3. Step 3: Cross multiply
    27,278.36x = 40,912.97 × 7,558.91
  4. Step 4: Simplify right side
    27,278.36x = 309,257,253.50
  5. Step 5: Solve for x
    x = 309,257,253.50/27,278.36
  6. Step 6: Final answer
    x = 11,337.09

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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.