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Finding the Fourth Proportional to 8,020.08, 11,966.94 and 7,143.12

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Solution

The fourth proportional to 8,020.08, 11,966.94 and 7,143.12 is: 10,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.08 : 11,966.94 = 7,143.12 : x
  2. Step 2: Convert to fraction form
    8,020.08/11,966.94 = 7,143.12/x
  3. Step 3: Cross multiply
    8,020.08x = 11,966.94 × 7,143.12
  4. Step 4: Simplify right side
    8,020.08x = 85,481,288.45
  5. Step 5: Solve for x
    x = 85,481,288.45/8,020.08
  6. Step 6: Final answer
    x = 10,658.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.