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Finding the Fourth Proportional to 10,230.27, 15,347.15 and 3,208.93

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Solution

The fourth proportional to 10,230.27, 15,347.15 and 3,208.93 is: 4,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.27 : 15,347.15 = 3,208.93 : x
  2. Step 2: Convert to fraction form
    10,230.27/15,347.15 = 3,208.93/x
  3. Step 3: Cross multiply
    10,230.27x = 15,347.15 × 3,208.93
  4. Step 4: Simplify right side
    10,230.27x = 49,247,930.05
  5. Step 5: Solve for x
    x = 49,247,930.05/10,230.27
  6. Step 6: Final answer
    x = 4,813.94

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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.