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Finding the Fourth Proportional to 27,264.78, 40,889.61 and 7,541.82

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Solution

The fourth proportional to 27,264.78, 40,889.61 and 7,541.82 is: 11,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,264.78 : 40,889.61 = 7,541.82 : x
  2. Step 2: Convert to fraction form
    27,264.78/40,889.61 = 7,541.82/x
  3. Step 3: Cross multiply
    27,264.78x = 40,889.61 × 7,541.82
  4. Step 4: Simplify right side
    27,264.78x = 308,382,078.49
  5. Step 5: Solve for x
    x = 308,382,078.49/27,264.78
  6. Step 6: Final answer
    x = 11,310.64

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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.