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Finding the Fourth Proportional to 10,867.21, 16,279.67 and 8,012.49

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Solution

The fourth proportional to 10,867.21, 16,279.67 and 8,012.49 is: 12,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.21 : 16,279.67 = 8,012.49 : x
  2. Step 2: Convert to fraction form
    10,867.21/16,279.67 = 8,012.49/x
  3. Step 3: Cross multiply
    10,867.21x = 16,279.67 × 8,012.49
  4. Step 4: Simplify right side
    10,867.21x = 130,440,653.02
  5. Step 5: Solve for x
    x = 130,440,653.02/10,867.21
  6. Step 6: Final answer
    x = 12,003.14

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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.