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Finding the Fourth Proportional to 8,498.25, 11,727.72 and 4,772.25

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Solution

The fourth proportional to 8,498.25, 11,727.72 and 4,772.25 is: 6,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.25 : 11,727.72 = 4,772.25 : x
  2. Step 2: Convert to fraction form
    8,498.25/11,727.72 = 4,772.25/x
  3. Step 3: Cross multiply
    8,498.25x = 11,727.72 × 4,772.25
  4. Step 4: Simplify right side
    8,498.25x = 55,967,611.77
  5. Step 5: Solve for x
    x = 55,967,611.77/8,498.25
  6. Step 6: Final answer
    x = 6,585.78

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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.