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Finding the Fourth Proportional to 7,123.66, 10,692.38 and 3,428.44

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Solution

The fourth proportional to 7,123.66, 10,692.38 and 3,428.44 is: 5,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.66 : 10,692.38 = 3,428.44 : x
  2. Step 2: Convert to fraction form
    7,123.66/10,692.38 = 3,428.44/x
  3. Step 3: Cross multiply
    7,123.66x = 10,692.38 × 3,428.44
  4. Step 4: Simplify right side
    7,123.66x = 36,658,183.29
  5. Step 5: Solve for x
    x = 36,658,183.29/7,123.66
  6. Step 6: Final answer
    x = 5,145.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.