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Finding the Fourth Proportional to 7,163.42, 10,744.70 and 4,260.20

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Solution

The fourth proportional to 7,163.42, 10,744.70 and 4,260.20 is: 6,390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.42 : 10,744.70 = 4,260.20 : x
  2. Step 2: Convert to fraction form
    7,163.42/10,744.70 = 4,260.20/x
  3. Step 3: Cross multiply
    7,163.42x = 10,744.70 × 4,260.20
  4. Step 4: Simplify right side
    7,163.42x = 45,774,495.92
  5. Step 5: Solve for x
    x = 45,774,495.92/7,163.42
  6. Step 6: Final answer
    x = 6,390.04

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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.