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Finding the Fourth Proportional to 11,247.16, 16,869 and 3,849.92

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Solution

The fourth proportional to 11,247.16, 16,869 and 3,849.92 is: 5,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,247.16 : 16,869 = 3,849.92 : x
  2. Step 2: Convert to fraction form
    11,247.16/16,869 = 3,849.92/x
  3. Step 3: Cross multiply
    11,247.16x = 16,869 × 3,849.92
  4. Step 4: Simplify right side
    11,247.16x = 64,944,300.48
  5. Step 5: Solve for x
    x = 64,944,300.48/11,247.16
  6. Step 6: Final answer
    x = 5,774.28

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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.