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Finding the Fourth Proportional to 11,097.74, 15,317.97 and 6,383.54

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Solution

The fourth proportional to 11,097.74, 15,317.97 and 6,383.54 is: 8,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.74 : 15,317.97 = 6,383.54 : x
  2. Step 2: Convert to fraction form
    11,097.74/15,317.97 = 6,383.54/x
  3. Step 3: Cross multiply
    11,097.74x = 15,317.97 × 6,383.54
  4. Step 4: Simplify right side
    11,097.74x = 97,782,874.21
  5. Step 5: Solve for x
    x = 97,782,874.21/11,097.74
  6. Step 6: Final answer
    x = 8,811.06

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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.