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Finding the Fourth Proportional to 8,237.82, 12,354.34 and 4,727.23

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Solution

The fourth proportional to 8,237.82, 12,354.34 and 4,727.23 is: 7,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.82 : 12,354.34 = 4,727.23 : x
  2. Step 2: Convert to fraction form
    8,237.82/12,354.34 = 4,727.23/x
  3. Step 3: Cross multiply
    8,237.82x = 12,354.34 × 4,727.23
  4. Step 4: Simplify right side
    8,237.82x = 58,401,806.68
  5. Step 5: Solve for x
    x = 58,401,806.68/8,237.82
  6. Step 6: Final answer
    x = 7,089.47

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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.