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Finding the Fourth Proportional to 7,748.48, 10,692.97 and 4,211.69

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Solution

The fourth proportional to 7,748.48, 10,692.97 and 4,211.69 is: 5,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.48 : 10,692.97 = 4,211.69 : x
  2. Step 2: Convert to fraction form
    7,748.48/10,692.97 = 4,211.69/x
  3. Step 3: Cross multiply
    7,748.48x = 10,692.97 × 4,211.69
  4. Step 4: Simplify right side
    7,748.48x = 45,035,474.82
  5. Step 5: Solve for x
    x = 45,035,474.82/7,748.48
  6. Step 6: Final answer
    x = 5,812.17

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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.