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Finding the Fourth Proportional to 8,099.99, 11,177.98 and 4,563.20

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Solution

The fourth proportional to 8,099.99, 11,177.98 and 4,563.20 is: 6,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.99 : 11,177.98 = 4,563.20 : x
  2. Step 2: Convert to fraction form
    8,099.99/11,177.98 = 4,563.20/x
  3. Step 3: Cross multiply
    8,099.99x = 11,177.98 × 4,563.20
  4. Step 4: Simplify right side
    8,099.99x = 51,007,302.45
  5. Step 5: Solve for x
    x = 51,007,302.45/8,099.99
  6. Step 6: Final answer
    x = 6,297.21

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Similar ratio
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1.5x scale

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.