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Finding the Fourth Proportional to 8,199.30, 12,297.12 and 2,356.38

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Solution

The fourth proportional to 8,199.30, 12,297.12 and 2,356.38 is: 3,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.30 : 12,297.12 = 2,356.38 : x
  2. Step 2: Convert to fraction form
    8,199.30/12,297.12 = 2,356.38/x
  3. Step 3: Cross multiply
    8,199.30x = 12,297.12 × 2,356.38
  4. Step 4: Simplify right side
    8,199.30x = 28,976,687.63
  5. Step 5: Solve for x
    x = 28,976,687.63/8,199.30
  6. Step 6: Final answer
    x = 3,534.04

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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.