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Finding the Fourth Proportional to 7,380.41, 10,184.67 and 4,023.15

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Solution

The fourth proportional to 7,380.41, 10,184.67 and 4,023.15 is: 5,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.41 : 10,184.67 = 4,023.15 : x
  2. Step 2: Convert to fraction form
    7,380.41/10,184.67 = 4,023.15/x
  3. Step 3: Cross multiply
    7,380.41x = 10,184.67 × 4,023.15
  4. Step 4: Simplify right side
    7,380.41x = 40,974,434.99
  5. Step 5: Solve for x
    x = 40,974,434.99/7,380.41
  6. Step 6: Final answer
    x = 5,551.78

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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.