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Finding the Fourth Proportional to 27,468.72, 41,201.16 and 7,746.48

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Solution

The fourth proportional to 27,468.72, 41,201.16 and 7,746.48 is: 11,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.72 : 41,201.16 = 7,746.48 : x
  2. Step 2: Convert to fraction form
    27,468.72/41,201.16 = 7,746.48/x
  3. Step 3: Cross multiply
    27,468.72x = 41,201.16 × 7,746.48
  4. Step 4: Simplify right side
    27,468.72x = 319,163,961.92
  5. Step 5: Solve for x
    x = 319,163,961.92/27,468.72
  6. Step 6: Final answer
    x = 11,619.18

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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.