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Finding the Fourth Proportional to 7,380.53, 10,185 and 4,023.37

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Solution

The fourth proportional to 7,380.53, 10,185 and 4,023.37 is: 5,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.53 : 10,185 = 4,023.37 : x
  2. Step 2: Convert to fraction form
    7,380.53/10,185 = 4,023.37/x
  3. Step 3: Cross multiply
    7,380.53x = 10,185 × 4,023.37
  4. Step 4: Simplify right side
    7,380.53x = 40,978,023.45
  5. Step 5: Solve for x
    x = 40,978,023.45/7,380.53
  6. Step 6: Final answer
    x = 5,552.18

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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.