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Finding the Fourth Proportional to 11,450.22, 15,801.65 and 6,414.42

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Solution

The fourth proportional to 11,450.22, 15,801.65 and 6,414.42 is: 8,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.22 : 15,801.65 = 6,414.42 : x
  2. Step 2: Convert to fraction form
    11,450.22/15,801.65 = 6,414.42/x
  3. Step 3: Cross multiply
    11,450.22x = 15,801.65 × 6,414.42
  4. Step 4: Simplify right side
    11,450.22x = 101,358,419.79
  5. Step 5: Solve for x
    x = 101,358,419.79/11,450.22
  6. Step 6: Final answer
    x = 8,852.09

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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.