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Finding the Fourth Proportional to 8,002.05, 11,992.15 and 5,075.11

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Solution

The fourth proportional to 8,002.05, 11,992.15 and 5,075.11 is: 7,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.05 : 11,992.15 = 5,075.11 : x
  2. Step 2: Convert to fraction form
    8,002.05/11,992.15 = 5,075.11/x
  3. Step 3: Cross multiply
    8,002.05x = 11,992.15 × 5,075.11
  4. Step 4: Simplify right side
    8,002.05x = 60,861,480.39
  5. Step 5: Solve for x
    x = 60,861,480.39/8,002.05
  6. Step 6: Final answer
    x = 7,605.74

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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.