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Finding the Fourth Proportional to 23,600.91, 35,403.57 and 7,806

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Solution

The fourth proportional to 23,600.91, 35,403.57 and 7,806 is: 11,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,600.91 : 35,403.57 = 7,806 : x
  2. Step 2: Convert to fraction form
    23,600.91/35,403.57 = 7,806/x
  3. Step 3: Cross multiply
    23,600.91x = 35,403.57 × 7,806
  4. Step 4: Simplify right side
    23,600.91x = 276,360,267.42
  5. Step 5: Solve for x
    x = 276,360,267.42/23,600.91
  6. Step 6: Final answer
    x = 11,709.73

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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.