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Finding the Fourth Proportional to 8,135.02, 12,203.36 and 2,212

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Solution

The fourth proportional to 8,135.02, 12,203.36 and 2,212 is: 3,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.02 : 12,203.36 = 2,212 : x
  2. Step 2: Convert to fraction form
    8,135.02/12,203.36 = 2,212/x
  3. Step 3: Cross multiply
    8,135.02x = 12,203.36 × 2,212
  4. Step 4: Simplify right side
    8,135.02x = 26,993,832.32
  5. Step 5: Solve for x
    x = 26,993,832.32/8,135.02
  6. Step 6: Final answer
    x = 3,318.23

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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.