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Finding the Fourth Proportional to 10,197.67, 15,298.07 and 5,518.34

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Solution

The fourth proportional to 10,197.67, 15,298.07 and 5,518.34 is: 8,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.67 : 15,298.07 = 5,518.34 : x
  2. Step 2: Convert to fraction form
    10,197.67/15,298.07 = 5,518.34/x
  3. Step 3: Cross multiply
    10,197.67x = 15,298.07 × 5,518.34
  4. Step 4: Simplify right side
    10,197.67x = 84,419,990.94
  5. Step 5: Solve for x
    x = 84,419,990.94/10,197.67
  6. Step 6: Final answer
    x = 8,278.36

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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.