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Finding the Fourth Proportional to 8,400.62, 11,593.01 and 4,623.76

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Solution

The fourth proportional to 8,400.62, 11,593.01 and 4,623.76 is: 6,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.62 : 11,593.01 = 4,623.76 : x
  2. Step 2: Convert to fraction form
    8,400.62/11,593.01 = 4,623.76/x
  3. Step 3: Cross multiply
    8,400.62x = 11,593.01 × 4,623.76
  4. Step 4: Simplify right side
    8,400.62x = 53,603,278.49
  5. Step 5: Solve for x
    x = 53,603,278.49/8,400.62
  6. Step 6: Final answer
    x = 6,380.87

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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.