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Finding the Fourth Proportional to 11,795.75, 17,698.49 and 8,691.42

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Solution

The fourth proportional to 11,795.75, 17,698.49 and 8,691.42 is: 13,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.75 : 17,698.49 = 8,691.42 : x
  2. Step 2: Convert to fraction form
    11,795.75/17,698.49 = 8,691.42/x
  3. Step 3: Cross multiply
    11,795.75x = 17,698.49 × 8,691.42
  4. Step 4: Simplify right side
    11,795.75x = 153,824,966.50
  5. Step 5: Solve for x
    x = 153,824,966.50/11,795.75
  6. Step 6: Final answer
    x = 13,040.72

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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.