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Finding the Fourth Proportional to 8,243.37, 12,364.88 and 2,003.41

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Solution

The fourth proportional to 8,243.37, 12,364.88 and 2,003.41 is: 3,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.37 : 12,364.88 = 2,003.41 : x
  2. Step 2: Convert to fraction form
    8,243.37/12,364.88 = 2,003.41/x
  3. Step 3: Cross multiply
    8,243.37x = 12,364.88 × 2,003.41
  4. Step 4: Simplify right side
    8,243.37x = 24,771,914.22
  5. Step 5: Solve for x
    x = 24,771,914.22/8,243.37
  6. Step 6: Final answer
    x = 3,005.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.