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Finding the Fourth Proportional to 8,683.28, 13,026 and 2,838.32

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Solution

The fourth proportional to 8,683.28, 13,026 and 2,838.32 is: 4,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.28 : 13,026 = 2,838.32 : x
  2. Step 2: Convert to fraction form
    8,683.28/13,026 = 2,838.32/x
  3. Step 3: Cross multiply
    8,683.28x = 13,026 × 2,838.32
  4. Step 4: Simplify right side
    8,683.28x = 36,971,956.32
  5. Step 5: Solve for x
    x = 36,971,956.32/8,683.28
  6. Step 6: Final answer
    x = 4,257.83

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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.