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Finding the Fourth Proportional to 8,098.40, 11,175.81 and 4,696.09

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Solution

The fourth proportional to 8,098.40, 11,175.81 and 4,696.09 is: 6,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.40 : 11,175.81 = 4,696.09 : x
  2. Step 2: Convert to fraction form
    8,098.40/11,175.81 = 4,696.09/x
  3. Step 3: Cross multiply
    8,098.40x = 11,175.81 × 4,696.09
  4. Step 4: Simplify right side
    8,098.40x = 52,482,609.58
  5. Step 5: Solve for x
    x = 52,482,609.58/8,098.40
  6. Step 6: Final answer
    x = 6,480.61

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