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Finding the Fourth Proportional to 8,270.27, 12,406.19 and 2,347.28

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Solution

The fourth proportional to 8,270.27, 12,406.19 and 2,347.28 is: 3,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.27 : 12,406.19 = 2,347.28 : x
  2. Step 2: Convert to fraction form
    8,270.27/12,406.19 = 2,347.28/x
  3. Step 3: Cross multiply
    8,270.27x = 12,406.19 × 2,347.28
  4. Step 4: Simplify right side
    8,270.27x = 29,120,727.90
  5. Step 5: Solve for x
    x = 29,120,727.90/8,270.27
  6. Step 6: Final answer
    x = 3,521.14

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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.