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Finding the Fourth Proportional to 7,747.85, 10,692.12 and 4,211.06

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Solution

The fourth proportional to 7,747.85, 10,692.12 and 4,211.06 is: 5,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.85 : 10,692.12 = 4,211.06 : x
  2. Step 2: Convert to fraction form
    7,747.85/10,692.12 = 4,211.06/x
  3. Step 3: Cross multiply
    7,747.85x = 10,692.12 × 4,211.06
  4. Step 4: Simplify right side
    7,747.85x = 45,025,137.79
  5. Step 5: Solve for x
    x = 45,025,137.79/7,747.85
  6. Step 6: Final answer
    x = 5,811.31

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