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Finding the Fourth Proportional to 10,906.72, 16,276.36 and 9,740.32

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Solution

The fourth proportional to 10,906.72, 16,276.36 and 9,740.32 is: 14,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.72 : 16,276.36 = 9,740.32 : x
  2. Step 2: Convert to fraction form
    10,906.72/16,276.36 = 9,740.32/x
  3. Step 3: Cross multiply
    10,906.72x = 16,276.36 × 9,740.32
  4. Step 4: Simplify right side
    10,906.72x = 158,536,954.84
  5. Step 5: Solve for x
    x = 158,536,954.84/10,906.72
  6. Step 6: Final answer
    x = 14,535.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.