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Finding the Fourth Proportional to 8,138.25, 12,210.03 and 3,458.07

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Solution

The fourth proportional to 8,138.25, 12,210.03 and 3,458.07 is: 5,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.25 : 12,210.03 = 3,458.07 : x
  2. Step 2: Convert to fraction form
    8,138.25/12,210.03 = 3,458.07/x
  3. Step 3: Cross multiply
    8,138.25x = 12,210.03 × 3,458.07
  4. Step 4: Simplify right side
    8,138.25x = 42,223,138.44
  5. Step 5: Solve for x
    x = 42,223,138.44/8,138.25
  6. Step 6: Final answer
    x = 5,188.23

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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.