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Finding the Fourth Proportional to 11,500.63, 15,866.37 and 6,463.69

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Solution

The fourth proportional to 11,500.63, 15,866.37 and 6,463.69 is: 8,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.63 : 15,866.37 = 6,463.69 : x
  2. Step 2: Convert to fraction form
    11,500.63/15,866.37 = 6,463.69/x
  3. Step 3: Cross multiply
    11,500.63x = 15,866.37 × 6,463.69
  4. Step 4: Simplify right side
    11,500.63x = 102,555,257.44
  5. Step 5: Solve for x
    x = 102,555,257.44/11,500.63
  6. Step 6: Final answer
    x = 8,917.36

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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.