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Finding the Fourth Proportional to 7,162.40, 10,724.16 and 3,692.80

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Solution

The fourth proportional to 7,162.40, 10,724.16 and 3,692.80 is: 5,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.40 : 10,724.16 = 3,692.80 : x
  2. Step 2: Convert to fraction form
    7,162.40/10,724.16 = 3,692.80/x
  3. Step 3: Cross multiply
    7,162.40x = 10,724.16 × 3,692.80
  4. Step 4: Simplify right side
    7,162.40x = 39,602,178.05
  5. Step 5: Solve for x
    x = 39,602,178.05/7,162.40
  6. Step 6: Final answer
    x = 5,529.18

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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.