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Finding the Fourth Proportional to 10,990.43, 16,458.31 and 7,688.06

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Solution

The fourth proportional to 10,990.43, 16,458.31 and 7,688.06 is: 11,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.43 : 16,458.31 = 7,688.06 : x
  2. Step 2: Convert to fraction form
    10,990.43/16,458.31 = 7,688.06/x
  3. Step 3: Cross multiply
    10,990.43x = 16,458.31 × 7,688.06
  4. Step 4: Simplify right side
    10,990.43x = 126,532,513.15
  5. Step 5: Solve for x
    x = 126,532,513.15/10,990.43
  6. Step 6: Final answer
    x = 11,512.97

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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.