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Finding the Fourth Proportional to 8,500.36, 12,754.73 and 3,823.68

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Solution

The fourth proportional to 8,500.36, 12,754.73 and 3,823.68 is: 5,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.36 : 12,754.73 = 3,823.68 : x
  2. Step 2: Convert to fraction form
    8,500.36/12,754.73 = 3,823.68/x
  3. Step 3: Cross multiply
    8,500.36x = 12,754.73 × 3,823.68
  4. Step 4: Simplify right side
    8,500.36x = 48,769,923.11
  5. Step 5: Solve for x
    x = 48,769,923.11/8,500.36
  6. Step 6: Final answer
    x = 5,737.40

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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.