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Finding the Fourth Proportional to 8,178.03, 12,271.91 and 3,499.47

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Solution

The fourth proportional to 8,178.03, 12,271.91 and 3,499.47 is: 5,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.03 : 12,271.91 = 3,499.47 : x
  2. Step 2: Convert to fraction form
    8,178.03/12,271.91 = 3,499.47/x
  3. Step 3: Cross multiply
    8,178.03x = 12,271.91 × 3,499.47
  4. Step 4: Simplify right side
    8,178.03x = 42,945,163.39
  5. Step 5: Solve for x
    x = 42,945,163.39/8,178.03
  6. Step 6: Final answer
    x = 5,251.28

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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.