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Finding the Fourth Proportional to 10,564.57, 15,846.23 and 3,169.17

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Solution

The fourth proportional to 10,564.57, 15,846.23 and 3,169.17 is: 4,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.57 : 15,846.23 = 3,169.17 : x
  2. Step 2: Convert to fraction form
    10,564.57/15,846.23 = 3,169.17/x
  3. Step 3: Cross multiply
    10,564.57x = 15,846.23 × 3,169.17
  4. Step 4: Simplify right side
    10,564.57x = 50,219,396.73
  5. Step 5: Solve for x
    x = 50,219,396.73/10,564.57
  6. Step 6: Final answer
    x = 4,753.57

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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.