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Finding the Fourth Proportional to 7,692.25, 11,537.20 and 2,145.01

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Solution

The fourth proportional to 7,692.25, 11,537.20 and 2,145.01 is: 3,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.25 : 11,537.20 = 2,145.01 : x
  2. Step 2: Convert to fraction form
    7,692.25/11,537.20 = 2,145.01/x
  3. Step 3: Cross multiply
    7,692.25x = 11,537.20 × 2,145.01
  4. Step 4: Simplify right side
    7,692.25x = 24,747,409.37
  5. Step 5: Solve for x
    x = 24,747,409.37/7,692.25
  6. Step 6: Final answer
    x = 3,217.19

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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.