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Finding the Fourth Proportional to 8,612.28, 11,889.16 and 5,778.64

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Solution

The fourth proportional to 8,612.28, 11,889.16 and 5,778.64 is: 7,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.28 : 11,889.16 = 5,778.64 : x
  2. Step 2: Convert to fraction form
    8,612.28/11,889.16 = 5,778.64/x
  3. Step 3: Cross multiply
    8,612.28x = 11,889.16 × 5,778.64
  4. Step 4: Simplify right side
    8,612.28x = 68,703,175.54
  5. Step 5: Solve for x
    x = 68,703,175.54/8,612.28
  6. Step 6: Final answer
    x = 7,977.35

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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.