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Finding the Fourth Proportional to 11,596.74, 16,003.46 and 6,291.64

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Solution

The fourth proportional to 11,596.74, 16,003.46 and 6,291.64 is: 8,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.74 : 16,003.46 = 6,291.64 : x
  2. Step 2: Convert to fraction form
    11,596.74/16,003.46 = 6,291.64/x
  3. Step 3: Cross multiply
    11,596.74x = 16,003.46 × 6,291.64
  4. Step 4: Simplify right side
    11,596.74x = 100,688,009.07
  5. Step 5: Solve for x
    x = 100,688,009.07/11,596.74
  6. Step 6: Final answer
    x = 8,682.44

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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.