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Finding the Fourth Proportional to 11,438.62, 17,177.01 and 7,714.39

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Solution

The fourth proportional to 11,438.62, 17,177.01 and 7,714.39 is: 11,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.62 : 17,177.01 = 7,714.39 : x
  2. Step 2: Convert to fraction form
    11,438.62/17,177.01 = 7,714.39/x
  3. Step 3: Cross multiply
    11,438.62x = 17,177.01 × 7,714.39
  4. Step 4: Simplify right side
    11,438.62x = 132,510,157.90
  5. Step 5: Solve for x
    x = 132,510,157.90/11,438.62
  6. Step 6: Final answer
    x = 11,584.46

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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.