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Finding the Fourth Proportional to 10,850.31, 16,275.47 and 10,296.27

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Solution

The fourth proportional to 10,850.31, 16,275.47 and 10,296.27 is: 15,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.31 : 16,275.47 = 10,296.27 : x
  2. Step 2: Convert to fraction form
    10,850.31/16,275.47 = 10,296.27/x
  3. Step 3: Cross multiply
    10,850.31x = 16,275.47 × 10,296.27
  4. Step 4: Simplify right side
    10,850.31x = 167,576,582.02
  5. Step 5: Solve for x
    x = 167,576,582.02/10,850.31
  6. Step 6: Final answer
    x = 15,444.41

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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.