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Finding the Fourth Proportional to 7,381.05, 10,185.54 and 4,023.78

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Solution

The fourth proportional to 7,381.05, 10,185.54 and 4,023.78 is: 5,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.05 : 10,185.54 = 4,023.78 : x
  2. Step 2: Convert to fraction form
    7,381.05/10,185.54 = 4,023.78/x
  3. Step 3: Cross multiply
    7,381.05x = 10,185.54 × 4,023.78
  4. Step 4: Simplify right side
    7,381.05x = 40,984,372.14
  5. Step 5: Solve for x
    x = 40,984,372.14/7,381.05
  6. Step 6: Final answer
    x = 5,552.65

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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.