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Finding the Fourth Proportional to 11,910.50, 17,846.95 and 4,403.76

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Solution

The fourth proportional to 11,910.50, 17,846.95 and 4,403.76 is: 6,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.50 : 17,846.95 = 4,403.76 : x
  2. Step 2: Convert to fraction form
    11,910.50/17,846.95 = 4,403.76/x
  3. Step 3: Cross multiply
    11,910.50x = 17,846.95 × 4,403.76
  4. Step 4: Simplify right side
    11,910.50x = 78,593,684.53
  5. Step 5: Solve for x
    x = 78,593,684.53/11,910.50
  6. Step 6: Final answer
    x = 6,598.69

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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.