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Finding the Fourth Proportional to 8,362.77, 11,540.71 and 4,778.20

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Solution

The fourth proportional to 8,362.77, 11,540.71 and 4,778.20 is: 6,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.77 : 11,540.71 = 4,778.20 : x
  2. Step 2: Convert to fraction form
    8,362.77/11,540.71 = 4,778.20/x
  3. Step 3: Cross multiply
    8,362.77x = 11,540.71 × 4,778.20
  4. Step 4: Simplify right side
    8,362.77x = 55,143,820.52
  5. Step 5: Solve for x
    x = 55,143,820.52/8,362.77
  6. Step 6: Final answer
    x = 6,593.97

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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.