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Finding the Fourth Proportional to 10,198.91, 15,296.63 and 2,801.63

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Solution

The fourth proportional to 10,198.91, 15,296.63 and 2,801.63 is: 4,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.91 : 15,296.63 = 2,801.63 : x
  2. Step 2: Convert to fraction form
    10,198.91/15,296.63 = 2,801.63/x
  3. Step 3: Cross multiply
    10,198.91x = 15,296.63 × 2,801.63
  4. Step 4: Simplify right side
    10,198.91x = 42,855,407.02
  5. Step 5: Solve for x
    x = 42,855,407.02/10,198.91
  6. Step 6: Final answer
    x = 4,201.96

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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.