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Finding the Fourth Proportional to 7,311.87, 10,949.58 and 4,392.23

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Solution

The fourth proportional to 7,311.87, 10,949.58 and 4,392.23 is: 6,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.87 : 10,949.58 = 4,392.23 : x
  2. Step 2: Convert to fraction form
    7,311.87/10,949.58 = 4,392.23/x
  3. Step 3: Cross multiply
    7,311.87x = 10,949.58 × 4,392.23
  4. Step 4: Simplify right side
    7,311.87x = 48,093,019.02
  5. Step 5: Solve for x
    x = 48,093,019.02/7,311.87
  6. Step 6: Final answer
    x = 6,577.39

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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.