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Finding the Fourth Proportional to 8,140.38, 12,210.54 and 3,401.88

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Solution

The fourth proportional to 8,140.38, 12,210.54 and 3,401.88 is: 5,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.38 : 12,210.54 = 3,401.88 : x
  2. Step 2: Convert to fraction form
    8,140.38/12,210.54 = 3,401.88/x
  3. Step 3: Cross multiply
    8,140.38x = 12,210.54 × 3,401.88
  4. Step 4: Simplify right side
    8,140.38x = 41,538,791.82
  5. Step 5: Solve for x
    x = 41,538,791.82/8,140.38
  6. Step 6: Final answer
    x = 5,102.81

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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.