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Finding the Fourth Proportional to 11,660.10, 17,495.32 and 6,112.12

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Solution

The fourth proportional to 11,660.10, 17,495.32 and 6,112.12 is: 9,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.10 : 17,495.32 = 6,112.12 : x
  2. Step 2: Convert to fraction form
    11,660.10/17,495.32 = 6,112.12/x
  3. Step 3: Cross multiply
    11,660.10x = 17,495.32 × 6,112.12
  4. Step 4: Simplify right side
    11,660.10x = 106,933,495.28
  5. Step 5: Solve for x
    x = 106,933,495.28/11,660.10
  6. Step 6: Final answer
    x = 9,170.89

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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.