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Finding the Fourth Proportional to 11,327.68, 16,990.32 and 6,937.48

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Solution

The fourth proportional to 11,327.68, 16,990.32 and 6,937.48 is: 10,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.68 : 16,990.32 = 6,937.48 : x
  2. Step 2: Convert to fraction form
    11,327.68/16,990.32 = 6,937.48/x
  3. Step 3: Cross multiply
    11,327.68x = 16,990.32 × 6,937.48
  4. Step 4: Simplify right side
    11,327.68x = 117,870,005.19
  5. Step 5: Solve for x
    x = 117,870,005.19/11,327.68
  6. Step 6: Final answer
    x = 10,405.49

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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.