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Finding the Fourth Proportional to 8,199.10, 12,298.65 and 2,356.21

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Solution

The fourth proportional to 8,199.10, 12,298.65 and 2,356.21 is: 3,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.10 : 12,298.65 = 2,356.21 : x
  2. Step 2: Convert to fraction form
    8,199.10/12,298.65 = 2,356.21/x
  3. Step 3: Cross multiply
    8,199.10x = 12,298.65 × 2,356.21
  4. Step 4: Simplify right side
    8,199.10x = 28,978,202.12
  5. Step 5: Solve for x
    x = 28,978,202.12/8,199.10
  6. Step 6: Final answer
    x = 3,534.32

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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.