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Finding the Fourth Proportional to 10,147.28, 14,003.22 and 5,671.03

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Solution

The fourth proportional to 10,147.28, 14,003.22 and 5,671.03 is: 7,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.28 : 14,003.22 = 5,671.03 : x
  2. Step 2: Convert to fraction form
    10,147.28/14,003.22 = 5,671.03/x
  3. Step 3: Cross multiply
    10,147.28x = 14,003.22 × 5,671.03
  4. Step 4: Simplify right side
    10,147.28x = 79,412,680.72
  5. Step 5: Solve for x
    x = 79,412,680.72/10,147.28
  6. Step 6: Final answer
    x = 7,826.01

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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.