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Finding the Fourth Proportional to 11,793.86, 17,692.95 and 4,864.58

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Solution

The fourth proportional to 11,793.86, 17,692.95 and 4,864.58 is: 7,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.86 : 17,692.95 = 4,864.58 : x
  2. Step 2: Convert to fraction form
    11,793.86/17,692.95 = 4,864.58/x
  3. Step 3: Cross multiply
    11,793.86x = 17,692.95 × 4,864.58
  4. Step 4: Simplify right side
    11,793.86x = 86,068,770.71
  5. Step 5: Solve for x
    x = 86,068,770.71/11,793.86
  6. Step 6: Final answer
    x = 7,297.76

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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.