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Finding the Fourth Proportional to 8,264.70, 11,405.25 and 4,727.97

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Solution

The fourth proportional to 8,264.70, 11,405.25 and 4,727.97 is: 6,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.70 : 11,405.25 = 4,727.97 : x
  2. Step 2: Convert to fraction form
    8,264.70/11,405.25 = 4,727.97/x
  3. Step 3: Cross multiply
    8,264.70x = 11,405.25 × 4,727.97
  4. Step 4: Simplify right side
    8,264.70x = 53,923,679.84
  5. Step 5: Solve for x
    x = 53,923,679.84/8,264.70
  6. Step 6: Final answer
    x = 6,524.58

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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.