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Finding the Fourth Proportional to 11,516.19, 15,893.63 and 6,481.63

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Solution

The fourth proportional to 11,516.19, 15,893.63 and 6,481.63 is: 8,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.19 : 15,893.63 = 6,481.63 : x
  2. Step 2: Convert to fraction form
    11,516.19/15,893.63 = 6,481.63/x
  3. Step 3: Cross multiply
    11,516.19x = 15,893.63 × 6,481.63
  4. Step 4: Simplify right side
    11,516.19x = 103,016,629.02
  5. Step 5: Solve for x
    x = 103,016,629.02/11,516.19
  6. Step 6: Final answer
    x = 8,945.37

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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.