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Finding the Fourth Proportional to 10,197.68, 15,293.64 and 3,620.30

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Solution

The fourth proportional to 10,197.68, 15,293.64 and 3,620.30 is: 5,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.68 : 15,293.64 = 3,620.30 : x
  2. Step 2: Convert to fraction form
    10,197.68/15,293.64 = 3,620.30/x
  3. Step 3: Cross multiply
    10,197.68x = 15,293.64 × 3,620.30
  4. Step 4: Simplify right side
    10,197.68x = 55,367,564.89
  5. Step 5: Solve for x
    x = 55,367,564.89/10,197.68
  6. Step 6: Final answer
    x = 5,429.43

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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.