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Finding the Fourth Proportional to 8,620.20, 11,892.83 and 5,637.78

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Solution

The fourth proportional to 8,620.20, 11,892.83 and 5,637.78 is: 7,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620.20 : 11,892.83 = 5,637.78 : x
  2. Step 2: Convert to fraction form
    8,620.20/11,892.83 = 5,637.78/x
  3. Step 3: Cross multiply
    8,620.20x = 11,892.83 × 5,637.78
  4. Step 4: Simplify right side
    8,620.20x = 67,049,130.93
  5. Step 5: Solve for x
    x = 67,049,130.93/8,620.20
  6. Step 6: Final answer
    x = 7,778.14

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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.