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Finding the Fourth Proportional to 11,563.14, 17,348.20 and 4,896.20

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Solution

The fourth proportional to 11,563.14, 17,348.20 and 4,896.20 is: 7,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.14 : 17,348.20 = 4,896.20 : x
  2. Step 2: Convert to fraction form
    11,563.14/17,348.20 = 4,896.20/x
  3. Step 3: Cross multiply
    11,563.14x = 17,348.20 × 4,896.20
  4. Step 4: Simplify right side
    11,563.14x = 84,940,256.84
  5. Step 5: Solve for x
    x = 84,940,256.84/11,563.14
  6. Step 6: Final answer
    x = 7,345.78

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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.