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Finding the Fourth Proportional to 7,692.03, 11,537.87 and 2,145.15

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Solution

The fourth proportional to 7,692.03, 11,537.87 and 2,145.15 is: 3,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.03 : 11,537.87 = 2,145.15 : x
  2. Step 2: Convert to fraction form
    7,692.03/11,537.87 = 2,145.15/x
  3. Step 3: Cross multiply
    7,692.03x = 11,537.87 × 2,145.15
  4. Step 4: Simplify right side
    7,692.03x = 24,750,451.10
  5. Step 5: Solve for x
    x = 24,750,451.10/7,692.03
  6. Step 6: Final answer
    x = 3,217.67

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Why These Related Problems?

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