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Finding the Fourth Proportional to 8,138.70, 12,208.65 and 3,458.18

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Solution

The fourth proportional to 8,138.70, 12,208.65 and 3,458.18 is: 5,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.70 : 12,208.65 = 3,458.18 : x
  2. Step 2: Convert to fraction form
    8,138.70/12,208.65 = 3,458.18/x
  3. Step 3: Cross multiply
    8,138.70x = 12,208.65 × 3,458.18
  4. Step 4: Simplify right side
    8,138.70x = 42,219,709.26
  5. Step 5: Solve for x
    x = 42,219,709.26/8,138.70
  6. Step 6: Final answer
    x = 5,187.52

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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.