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Finding the Fourth Proportional to 8,977.50, 12,389.38 and 5,200.84

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Solution

The fourth proportional to 8,977.50, 12,389.38 and 5,200.84 is: 7,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.50 : 12,389.38 = 5,200.84 : x
  2. Step 2: Convert to fraction form
    8,977.50/12,389.38 = 5,200.84/x
  3. Step 3: Cross multiply
    8,977.50x = 12,389.38 × 5,200.84
  4. Step 4: Simplify right side
    8,977.50x = 64,435,183.08
  5. Step 5: Solve for x
    x = 64,435,183.08/8,977.50
  6. Step 6: Final answer
    x = 7,177.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.