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Finding the Fourth Proportional to 10,906.47, 16,356.96 and 3,511.71

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Solution

The fourth proportional to 10,906.47, 16,356.96 and 3,511.71 is: 5,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.47 : 16,356.96 = 3,511.71 : x
  2. Step 2: Convert to fraction form
    10,906.47/16,356.96 = 3,511.71/x
  3. Step 3: Cross multiply
    10,906.47x = 16,356.96 × 3,511.71
  4. Step 4: Simplify right side
    10,906.47x = 57,440,900.00
  5. Step 5: Solve for x
    x = 57,440,900.00/10,906.47
  6. Step 6: Final answer
    x = 5,266.68

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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.