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Finding the Fourth Proportional to 11,516.52, 15,893.31 and 6,800.82

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Solution

The fourth proportional to 11,516.52, 15,893.31 and 6,800.82 is: 9,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.52 : 15,893.31 = 6,800.82 : x
  2. Step 2: Convert to fraction form
    11,516.52/15,893.31 = 6,800.82/x
  3. Step 3: Cross multiply
    11,516.52x = 15,893.31 × 6,800.82
  4. Step 4: Simplify right side
    11,516.52x = 108,087,540.51
  5. Step 5: Solve for x
    x = 108,087,540.51/11,516.52
  6. Step 6: Final answer
    x = 9,385.43

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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.