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Finding the Fourth Proportional to 8,140.62, 12,208.50 and 3,460.61

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Solution

The fourth proportional to 8,140.62, 12,208.50 and 3,460.61 is: 5,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.62 : 12,208.50 = 3,460.61 : x
  2. Step 2: Convert to fraction form
    8,140.62/12,208.50 = 3,460.61/x
  3. Step 3: Cross multiply
    8,140.62x = 12,208.50 × 3,460.61
  4. Step 4: Simplify right side
    8,140.62x = 42,248,857.19
  5. Step 5: Solve for x
    x = 42,248,857.19/8,140.62
  6. Step 6: Final answer
    x = 5,189.88

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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.