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Finding the Fourth Proportional to 7,748.18, 10,692.44 and 4,211.40

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Solution

The fourth proportional to 7,748.18, 10,692.44 and 4,211.40 is: 5,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.18 : 10,692.44 = 4,211.40 : x
  2. Step 2: Convert to fraction form
    7,748.18/10,692.44 = 4,211.40/x
  3. Step 3: Cross multiply
    7,748.18x = 10,692.44 × 4,211.40
  4. Step 4: Simplify right side
    7,748.18x = 45,030,141.82
  5. Step 5: Solve for x
    x = 45,030,141.82/7,748.18
  6. Step 6: Final answer
    x = 5,811.71

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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.