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Finding the Fourth Proportional to 8,494.66, 12,727.32 and 4,601.80

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Solution

The fourth proportional to 8,494.66, 12,727.32 and 4,601.80 is: 6,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.66 : 12,727.32 = 4,601.80 : x
  2. Step 2: Convert to fraction form
    8,494.66/12,727.32 = 4,601.80/x
  3. Step 3: Cross multiply
    8,494.66x = 12,727.32 × 4,601.80
  4. Step 4: Simplify right side
    8,494.66x = 58,568,581.18
  5. Step 5: Solve for x
    x = 58,568,581.18/8,494.66
  6. Step 6: Final answer
    x = 6,894.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.