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Finding the Fourth Proportional to 7,747.91, 10,692.28 and 4,211.35

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Solution

The fourth proportional to 7,747.91, 10,692.28 and 4,211.35 is: 5,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.91 : 10,692.28 = 4,211.35 : x
  2. Step 2: Convert to fraction form
    7,747.91/10,692.28 = 4,211.35/x
  3. Step 3: Cross multiply
    7,747.91x = 10,692.28 × 4,211.35
  4. Step 4: Simplify right side
    7,747.91x = 45,028,933.38
  5. Step 5: Solve for x
    x = 45,028,933.38/7,747.91
  6. Step 6: Final answer
    x = 5,811.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.