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Finding the Fourth Proportional to 10,906.52, 16,359.79 and 3,115.34

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Solution

The fourth proportional to 10,906.52, 16,359.79 and 3,115.34 is: 4,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.52 : 16,359.79 = 3,115.34 : x
  2. Step 2: Convert to fraction form
    10,906.52/16,359.79 = 3,115.34/x
  3. Step 3: Cross multiply
    10,906.52x = 16,359.79 × 3,115.34
  4. Step 4: Simplify right side
    10,906.52x = 50,966,226.63
  5. Step 5: Solve for x
    x = 50,966,226.63/10,906.52
  6. Step 6: Final answer
    x = 4,673.00

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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.