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Finding the Fourth Proportional to 7,861.84, 11,797.36 and 2,934.88

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Solution

The fourth proportional to 7,861.84, 11,797.36 and 2,934.88 is: 4,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.84 : 11,797.36 = 2,934.88 : x
  2. Step 2: Convert to fraction form
    7,861.84/11,797.36 = 2,934.88/x
  3. Step 3: Cross multiply
    7,861.84x = 11,797.36 × 2,934.88
  4. Step 4: Simplify right side
    7,861.84x = 34,623,835.92
  5. Step 5: Solve for x
    x = 34,623,835.92/7,861.84
  6. Step 6: Final answer
    x = 4,404.04

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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.