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Finding the Fourth Proportional to 11,458.71, 17,193.15 and 7,297.64

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Solution

The fourth proportional to 11,458.71, 17,193.15 and 7,297.64 is: 10,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.71 : 17,193.15 = 7,297.64 : x
  2. Step 2: Convert to fraction form
    11,458.71/17,193.15 = 7,297.64/x
  3. Step 3: Cross multiply
    11,458.71x = 17,193.15 × 7,297.64
  4. Step 4: Simplify right side
    11,458.71x = 125,469,419.17
  5. Step 5: Solve for x
    x = 125,469,419.17/11,458.71
  6. Step 6: Final answer
    x = 10,949.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.