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Finding the Fourth Proportional to 8,137.56, 11,229.13 and 4,735.20

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Solution

The fourth proportional to 8,137.56, 11,229.13 and 4,735.20 is: 6,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.56 : 11,229.13 = 4,735.20 : x
  2. Step 2: Convert to fraction form
    8,137.56/11,229.13 = 4,735.20/x
  3. Step 3: Cross multiply
    8,137.56x = 11,229.13 × 4,735.20
  4. Step 4: Simplify right side
    8,137.56x = 53,172,176.38
  5. Step 5: Solve for x
    x = 53,172,176.38/8,137.56
  6. Step 6: Final answer
    x = 6,534.17

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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.