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Finding the Fourth Proportional to 8,493.16, 12,744.70 and 3,562.42

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Solution

The fourth proportional to 8,493.16, 12,744.70 and 3,562.42 is: 5,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.16 : 12,744.70 = 3,562.42 : x
  2. Step 2: Convert to fraction form
    8,493.16/12,744.70 = 3,562.42/x
  3. Step 3: Cross multiply
    8,493.16x = 12,744.70 × 3,562.42
  4. Step 4: Simplify right side
    8,493.16x = 45,401,974.17
  5. Step 5: Solve for x
    x = 45,401,974.17/8,493.16
  6. Step 6: Final answer
    x = 5,345.71

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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.