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Finding the Fourth Proportional to 8,140.10, 12,209.94 and 3,458.84

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Solution

The fourth proportional to 8,140.10, 12,209.94 and 3,458.84 is: 5,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.10 : 12,209.94 = 3,458.84 : x
  2. Step 2: Convert to fraction form
    8,140.10/12,209.94 = 3,458.84/x
  3. Step 3: Cross multiply
    8,140.10x = 12,209.94 × 3,458.84
  4. Step 4: Simplify right side
    8,140.10x = 42,232,167.82
  5. Step 5: Solve for x
    x = 42,232,167.82/8,140.10
  6. Step 6: Final answer
    x = 5,188.17

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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.