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Finding the Fourth Proportional to 11,657.15, 17,490.89 and 6,109.18

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Solution

The fourth proportional to 11,657.15, 17,490.89 and 6,109.18 is: 9,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.15 : 17,490.89 = 6,109.18 : x
  2. Step 2: Convert to fraction form
    11,657.15/17,490.89 = 6,109.18/x
  3. Step 3: Cross multiply
    11,657.15x = 17,490.89 × 6,109.18
  4. Step 4: Simplify right side
    11,657.15x = 106,854,995.37
  5. Step 5: Solve for x
    x = 106,854,995.37/11,657.15
  6. Step 6: Final answer
    x = 9,166.48

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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.