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Finding the Fourth Proportional to 11,693.06, 17,508.30 and 6,134.69

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Solution

The fourth proportional to 11,693.06, 17,508.30 and 6,134.69 is: 9,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.06 : 17,508.30 = 6,134.69 : x
  2. Step 2: Convert to fraction form
    11,693.06/17,508.30 = 6,134.69/x
  3. Step 3: Cross multiply
    11,693.06x = 17,508.30 × 6,134.69
  4. Step 4: Simplify right side
    11,693.06x = 107,407,949.72
  5. Step 5: Solve for x
    x = 107,407,949.72/11,693.06
  6. Step 6: Final answer
    x = 9,185.62

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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.