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Finding the Fourth Proportional to 8,097.40, 11,175.78 and 4,954.60

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Solution

The fourth proportional to 8,097.40, 11,175.78 and 4,954.60 is: 6,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.40 : 11,175.78 = 4,954.60 : x
  2. Step 2: Convert to fraction form
    8,097.40/11,175.78 = 4,954.60/x
  3. Step 3: Cross multiply
    8,097.40x = 11,175.78 × 4,954.60
  4. Step 4: Simplify right side
    8,097.40x = 55,371,519.59
  5. Step 5: Solve for x
    x = 55,371,519.59/8,097.40
  6. Step 6: Final answer
    x = 6,838.19

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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.