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Finding the Fourth Proportional to 7,659.50, 11,487.74 and 2,111.42

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Solution

The fourth proportional to 7,659.50, 11,487.74 and 2,111.42 is: 3,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.50 : 11,487.74 = 2,111.42 : x
  2. Step 2: Convert to fraction form
    7,659.50/11,487.74 = 2,111.42/x
  3. Step 3: Cross multiply
    7,659.50x = 11,487.74 × 2,111.42
  4. Step 4: Simplify right side
    7,659.50x = 24,255,443.99
  5. Step 5: Solve for x
    x = 24,255,443.99/7,659.50
  6. Step 6: Final answer
    x = 3,166.71

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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.