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Finding the Fourth Proportional to 8,494.71, 11,723.44 and 4,718.61

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Solution

The fourth proportional to 8,494.71, 11,723.44 and 4,718.61 is: 6,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.71 : 11,723.44 = 4,718.61 : x
  2. Step 2: Convert to fraction form
    8,494.71/11,723.44 = 4,718.61/x
  3. Step 3: Cross multiply
    8,494.71x = 11,723.44 × 4,718.61
  4. Step 4: Simplify right side
    8,494.71x = 55,318,329.42
  5. Step 5: Solve for x
    x = 55,318,329.42/8,494.71
  6. Step 6: Final answer
    x = 6,512.09

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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.