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Finding the Fourth Proportional to 7,992.90, 11,988.27 and 2,149.86

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Solution

The fourth proportional to 7,992.90, 11,988.27 and 2,149.86 is: 3,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.90 : 11,988.27 = 2,149.86 : x
  2. Step 2: Convert to fraction form
    7,992.90/11,988.27 = 2,149.86/x
  3. Step 3: Cross multiply
    7,992.90x = 11,988.27 × 2,149.86
  4. Step 4: Simplify right side
    7,992.90x = 25,773,102.14
  5. Step 5: Solve for x
    x = 25,773,102.14/7,992.90
  6. Step 6: Final answer
    x = 3,224.50

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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.