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Finding the Fourth Proportional to 27,396, 41,089.84 and 7,672

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Solution

The fourth proportional to 27,396, 41,089.84 and 7,672 is: 11,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396 : 41,089.84 = 7,672 : x
  2. Step 2: Convert to fraction form
    27,396/41,089.84 = 7,672/x
  3. Step 3: Cross multiply
    27,396x = 41,089.84 × 7,672
  4. Step 4: Simplify right side
    27,396x = 315,241,252.48
  5. Step 5: Solve for x
    x = 315,241,252.48/27,396
  6. Step 6: Final answer
    x = 11,506.84

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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.