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Finding the Fourth Proportional to 7,748.40, 10,692.74 and 4,211.64

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Solution

The fourth proportional to 7,748.40, 10,692.74 and 4,211.64 is: 5,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.40 : 10,692.74 = 4,211.64 : x
  2. Step 2: Convert to fraction form
    7,748.40/10,692.74 = 4,211.64/x
  3. Step 3: Cross multiply
    7,748.40x = 10,692.74 × 4,211.64
  4. Step 4: Simplify right side
    7,748.40x = 45,033,971.49
  5. Step 5: Solve for x
    x = 45,033,971.49/7,748.40
  6. Step 6: Final answer
    x = 5,812.03

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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.