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Finding the Fourth Proportional to 11,596.50, 16,003.44 and 6,291.54

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Solution

The fourth proportional to 11,596.50, 16,003.44 and 6,291.54 is: 8,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.50 : 16,003.44 = 6,291.54 : x
  2. Step 2: Convert to fraction form
    11,596.50/16,003.44 = 6,291.54/x
  3. Step 3: Cross multiply
    11,596.50x = 16,003.44 × 6,291.54
  4. Step 4: Simplify right side
    11,596.50x = 100,686,282.90
  5. Step 5: Solve for x
    x = 100,686,282.90/11,596.50
  6. Step 6: Final answer
    x = 8,682.47

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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.