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Finding the Fourth Proportional to 11,657.40, 17,486.10 and 6,991.80

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Solution

The fourth proportional to 11,657.40, 17,486.10 and 6,991.80 is: 10,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.40 : 17,486.10 = 6,991.80 : x
  2. Step 2: Convert to fraction form
    11,657.40/17,486.10 = 6,991.80/x
  3. Step 3: Cross multiply
    11,657.40x = 17,486.10 × 6,991.80
  4. Step 4: Simplify right side
    11,657.40x = 122,259,313.98
  5. Step 5: Solve for x
    x = 122,259,313.98/11,657.40
  6. Step 6: Final answer
    x = 10,487.70

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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.