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Finding the Fourth Proportional to 11,911.14, 16,437.89 and 6,605.96

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Solution

The fourth proportional to 11,911.14, 16,437.89 and 6,605.96 is: 9,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.14 : 16,437.89 = 6,605.96 : x
  2. Step 2: Convert to fraction form
    11,911.14/16,437.89 = 6,605.96/x
  3. Step 3: Cross multiply
    11,911.14x = 16,437.89 × 6,605.96
  4. Step 4: Simplify right side
    11,911.14x = 108,587,978.15
  5. Step 5: Solve for x
    x = 108,587,978.15/11,911.14
  6. Step 6: Final answer
    x = 9,116.51

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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.