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Finding the Fourth Proportional to 7,934.25, 11,902.05 and 2,090.88

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Solution

The fourth proportional to 7,934.25, 11,902.05 and 2,090.88 is: 3,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.25 : 11,902.05 = 2,090.88 : x
  2. Step 2: Convert to fraction form
    7,934.25/11,902.05 = 2,090.88/x
  3. Step 3: Cross multiply
    7,934.25x = 11,902.05 × 2,090.88
  4. Step 4: Simplify right side
    7,934.25x = 24,885,758.30
  5. Step 5: Solve for x
    x = 24,885,758.30/7,934.25
  6. Step 6: Final answer
    x = 3,136.50

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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.