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Finding the Fourth Proportional to 11,456.70, 17,191.68 and 6,191.82

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Solution

The fourth proportional to 11,456.70, 17,191.68 and 6,191.82 is: 9,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.70 : 17,191.68 = 6,191.82 : x
  2. Step 2: Convert to fraction form
    11,456.70/17,191.68 = 6,191.82/x
  3. Step 3: Cross multiply
    11,456.70x = 17,191.68 × 6,191.82
  4. Step 4: Simplify right side
    11,456.70x = 106,447,788.06
  5. Step 5: Solve for x
    x = 106,447,788.06/11,456.70
  6. Step 6: Final answer
    x = 9,291.31

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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.