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Finding the Fourth Proportional to 10,761.57, 14,846.70 and 6,223.42

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Solution

The fourth proportional to 10,761.57, 14,846.70 and 6,223.42 is: 8,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.57 : 14,846.70 = 6,223.42 : x
  2. Step 2: Convert to fraction form
    10,761.57/14,846.70 = 6,223.42/x
  3. Step 3: Cross multiply
    10,761.57x = 14,846.70 × 6,223.42
  4. Step 4: Simplify right side
    10,761.57x = 92,397,249.71
  5. Step 5: Solve for x
    x = 92,397,249.71/10,761.57
  6. Step 6: Final answer
    x = 8,585.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.