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Finding the Fourth Proportional to 8,097.81, 11,175.18 and 4,463.97

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Solution

The fourth proportional to 8,097.81, 11,175.18 and 4,463.97 is: 6,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.81 : 11,175.18 = 4,463.97 : x
  2. Step 2: Convert to fraction form
    8,097.81/11,175.18 = 4,463.97/x
  3. Step 3: Cross multiply
    8,097.81x = 11,175.18 × 4,463.97
  4. Step 4: Simplify right side
    8,097.81x = 49,885,668.26
  5. Step 5: Solve for x
    x = 49,885,668.26/8,097.81
  6. Step 6: Final answer
    x = 6,160.39

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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.