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Finding the Fourth Proportional to 8,478.37, 12,717.71 and 3,215.84

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Solution

The fourth proportional to 8,478.37, 12,717.71 and 3,215.84 is: 4,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.37 : 12,717.71 = 3,215.84 : x
  2. Step 2: Convert to fraction form
    8,478.37/12,717.71 = 3,215.84/x
  3. Step 3: Cross multiply
    8,478.37x = 12,717.71 × 3,215.84
  4. Step 4: Simplify right side
    8,478.37x = 40,898,052.92
  5. Step 5: Solve for x
    x = 40,898,052.92/8,478.37
  6. Step 6: Final answer
    x = 4,823.81

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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.