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Finding the Fourth Proportional to 11,967.62, 17,952.12 and 3,647.93

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Solution

The fourth proportional to 11,967.62, 17,952.12 and 3,647.93 is: 5,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.62 : 17,952.12 = 3,647.93 : x
  2. Step 2: Convert to fraction form
    11,967.62/17,952.12 = 3,647.93/x
  3. Step 3: Cross multiply
    11,967.62x = 17,952.12 × 3,647.93
  4. Step 4: Simplify right side
    11,967.62x = 65,487,987.35
  5. Step 5: Solve for x
    x = 65,487,987.35/11,967.62
  6. Step 6: Final answer
    x = 5,472.10

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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.