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Finding the Fourth Proportional to 11,656.13, 17,479.82 and 4,992.44

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Solution

The fourth proportional to 11,656.13, 17,479.82 and 4,992.44 is: 7,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.13 : 17,479.82 = 4,992.44 : x
  2. Step 2: Convert to fraction form
    11,656.13/17,479.82 = 4,992.44/x
  3. Step 3: Cross multiply
    11,656.13x = 17,479.82 × 4,992.44
  4. Step 4: Simplify right side
    11,656.13x = 87,267,008.74
  5. Step 5: Solve for x
    x = 87,267,008.74/11,656.13
  6. Step 6: Final answer
    x = 7,486.79

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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.