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Finding the Fourth Proportional to 7,520.49, 10,378.13 and 4,163.10

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Solution

The fourth proportional to 7,520.49, 10,378.13 and 4,163.10 is: 5,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.49 : 10,378.13 = 4,163.10 : x
  2. Step 2: Convert to fraction form
    7,520.49/10,378.13 = 4,163.10/x
  3. Step 3: Cross multiply
    7,520.49x = 10,378.13 × 4,163.10
  4. Step 4: Simplify right side
    7,520.49x = 43,205,172.19
  5. Step 5: Solve for x
    x = 43,205,172.19/7,520.49
  6. Step 6: Final answer
    x = 5,744.99

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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.