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Finding the Fourth Proportional to 8,683.68, 13,022.76 and 2,838.72

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Solution

The fourth proportional to 8,683.68, 13,022.76 and 2,838.72 is: 4,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.68 : 13,022.76 = 2,838.72 : x
  2. Step 2: Convert to fraction form
    8,683.68/13,022.76 = 2,838.72/x
  3. Step 3: Cross multiply
    8,683.68x = 13,022.76 × 2,838.72
  4. Step 4: Simplify right side
    8,683.68x = 36,967,969.27
  5. Step 5: Solve for x
    x = 36,967,969.27/8,683.68
  6. Step 6: Final answer
    x = 4,257.18

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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.