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Finding the Fourth Proportional to 8,472.14, 11,690.43 and 4,887.24

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Solution

The fourth proportional to 8,472.14, 11,690.43 and 4,887.24 is: 6,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.14 : 11,690.43 = 4,887.24 : x
  2. Step 2: Convert to fraction form
    8,472.14/11,690.43 = 4,887.24/x
  3. Step 3: Cross multiply
    8,472.14x = 11,690.43 × 4,887.24
  4. Step 4: Simplify right side
    8,472.14x = 57,133,874.95
  5. Step 5: Solve for x
    x = 57,133,874.95/8,472.14
  6. Step 6: Final answer
    x = 6,743.73

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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.