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Finding the Fourth Proportional to 8,823.43, 13,230.89 and 5,126.73

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Solution

The fourth proportional to 8,823.43, 13,230.89 and 5,126.73 is: 7,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.43 : 13,230.89 = 5,126.73 : x
  2. Step 2: Convert to fraction form
    8,823.43/13,230.89 = 5,126.73/x
  3. Step 3: Cross multiply
    8,823.43x = 13,230.89 × 5,126.73
  4. Step 4: Simplify right side
    8,823.43x = 67,831,173.50
  5. Step 5: Solve for x
    x = 67,831,173.50/8,823.43
  6. Step 6: Final answer
    x = 7,687.62

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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.