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Finding the Fourth Proportional to 8,043.14, 12,040.77 and 7,198.40

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Solution

The fourth proportional to 8,043.14, 12,040.77 and 7,198.40 is: 10,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.14 : 12,040.77 = 7,198.40 : x
  2. Step 2: Convert to fraction form
    8,043.14/12,040.77 = 7,198.40/x
  3. Step 3: Cross multiply
    8,043.14x = 12,040.77 × 7,198.40
  4. Step 4: Simplify right side
    8,043.14x = 86,674,335.86
  5. Step 5: Solve for x
    x = 86,674,335.86/8,043.14
  6. Step 6: Final answer
    x = 10,776.18

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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.