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Finding the Fourth Proportional to 11,896.88, 17,828.91 and 8,583.57

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Solution

The fourth proportional to 11,896.88, 17,828.91 and 8,583.57 is: 12,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.88 : 17,828.91 = 8,583.57 : x
  2. Step 2: Convert to fraction form
    11,896.88/17,828.91 = 8,583.57/x
  3. Step 3: Cross multiply
    11,896.88x = 17,828.91 × 8,583.57
  4. Step 4: Simplify right side
    11,896.88x = 153,035,697.01
  5. Step 5: Solve for x
    x = 153,035,697.01/11,896.88
  6. Step 6: Final answer
    x = 12,863.52

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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.