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Finding the Fourth Proportional to 8,683.50, 13,025.85 and 4,299.78

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Solution

The fourth proportional to 8,683.50, 13,025.85 and 4,299.78 is: 6,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.50 : 13,025.85 = 4,299.78 : x
  2. Step 2: Convert to fraction form
    8,683.50/13,025.85 = 4,299.78/x
  3. Step 3: Cross multiply
    8,683.50x = 13,025.85 × 4,299.78
  4. Step 4: Simplify right side
    8,683.50x = 56,008,289.31
  5. Step 5: Solve for x
    x = 56,008,289.31/8,683.50
  6. Step 6: Final answer
    x = 6,449.97

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Why These Related Problems?

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