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Finding the Fourth Proportional to 7,692.89, 10,618.82 and 4,507.19

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Solution

The fourth proportional to 7,692.89, 10,618.82 and 4,507.19 is: 6,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.89 : 10,618.82 = 4,507.19 : x
  2. Step 2: Convert to fraction form
    7,692.89/10,618.82 = 4,507.19/x
  3. Step 3: Cross multiply
    7,692.89x = 10,618.82 × 4,507.19
  4. Step 4: Simplify right side
    7,692.89x = 47,860,997.49
  5. Step 5: Solve for x
    x = 47,860,997.49/7,692.89
  6. Step 6: Final answer
    x = 6,221.46

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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.