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Finding the Fourth Proportional to 8,098.56, 11,175.30 and 4,513.38

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Solution

The fourth proportional to 8,098.56, 11,175.30 and 4,513.38 is: 6,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.56 : 11,175.30 = 4,513.38 : x
  2. Step 2: Convert to fraction form
    8,098.56/11,175.30 = 4,513.38/x
  3. Step 3: Cross multiply
    8,098.56x = 11,175.30 × 4,513.38
  4. Step 4: Simplify right side
    8,098.56x = 50,438,375.51
  5. Step 5: Solve for x
    x = 50,438,375.51/8,098.56
  6. Step 6: Final answer
    x = 6,228.07

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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.