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Finding the Fourth Proportional to 7,692.20, 10,615.24 and 4,155.41

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Solution

The fourth proportional to 7,692.20, 10,615.24 and 4,155.41 is: 5,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.20 : 10,615.24 = 4,155.41 : x
  2. Step 2: Convert to fraction form
    7,692.20/10,615.24 = 4,155.41/x
  3. Step 3: Cross multiply
    7,692.20x = 10,615.24 × 4,155.41
  4. Step 4: Simplify right side
    7,692.20x = 44,110,674.45
  5. Step 5: Solve for x
    x = 44,110,674.45/7,692.20
  6. Step 6: Final answer
    x = 5,734.47

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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.