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Finding the Fourth Proportional to 11,793.40, 17,692.10 and 5,870.64

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Solution

The fourth proportional to 11,793.40, 17,692.10 and 5,870.64 is: 8,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.40 : 17,692.10 = 5,870.64 : x
  2. Step 2: Convert to fraction form
    11,793.40/17,692.10 = 5,870.64/x
  3. Step 3: Cross multiply
    11,793.40x = 17,692.10 × 5,870.64
  4. Step 4: Simplify right side
    11,793.40x = 103,863,949.94
  5. Step 5: Solve for x
    x = 103,863,949.94/11,793.40
  6. Step 6: Final answer
    x = 8,806.96

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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.