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Finding the Fourth Proportional to 11,031.94, 15,224.08 and 5,996.21

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Solution

The fourth proportional to 11,031.94, 15,224.08 and 5,996.21 is: 8,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.94 : 15,224.08 = 5,996.21 : x
  2. Step 2: Convert to fraction form
    11,031.94/15,224.08 = 5,996.21/x
  3. Step 3: Cross multiply
    11,031.94x = 15,224.08 × 5,996.21
  4. Step 4: Simplify right side
    11,031.94x = 91,286,803.81
  5. Step 5: Solve for x
    x = 91,286,803.81/11,031.94
  6. Step 6: Final answer
    x = 8,274.78

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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.