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Finding the Fourth Proportional to 27,195.90, 40,794.86 and 7,476

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Solution

The fourth proportional to 27,195.90, 40,794.86 and 7,476 is: 11,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,195.90 : 40,794.86 = 7,476 : x
  2. Step 2: Convert to fraction form
    27,195.90/40,794.86 = 7,476/x
  3. Step 3: Cross multiply
    27,195.90x = 40,794.86 × 7,476
  4. Step 4: Simplify right side
    27,195.90x = 304,982,335.98
  5. Step 5: Solve for x
    x = 304,982,335.98/27,195.90
  6. Step 6: Final answer
    x = 11,214.28

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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.