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Finding the Fourth Proportional to 7,743.98, 10,692.24 and 4,763.82

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Solution

The fourth proportional to 7,743.98, 10,692.24 and 4,763.82 is: 6,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.98 : 10,692.24 = 4,763.82 : x
  2. Step 2: Convert to fraction form
    7,743.98/10,692.24 = 4,763.82/x
  3. Step 3: Cross multiply
    7,743.98x = 10,692.24 × 4,763.82
  4. Step 4: Simplify right side
    7,743.98x = 50,935,906.76
  5. Step 5: Solve for x
    x = 50,935,906.76/7,743.98
  6. Step 6: Final answer
    x = 6,577.48

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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.