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Finding the Fourth Proportional to 10,230.18, 15,338.49 and 3,990.78

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Solution

The fourth proportional to 10,230.18, 15,338.49 and 3,990.78 is: 5,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.18 : 15,338.49 = 3,990.78 : x
  2. Step 2: Convert to fraction form
    10,230.18/15,338.49 = 3,990.78/x
  3. Step 3: Cross multiply
    10,230.18x = 15,338.49 × 3,990.78
  4. Step 4: Simplify right side
    10,230.18x = 61,212,539.12
  5. Step 5: Solve for x
    x = 61,212,539.12/10,230.18
  6. Step 6: Final answer
    x = 5,983.53

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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.