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Finding the Fourth Proportional to 8,494, 12,736.88 and 3,562.32

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Solution

The fourth proportional to 8,494, 12,736.88 and 3,562.32 is: 5,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494 : 12,736.88 = 3,562.32 : x
  2. Step 2: Convert to fraction form
    8,494/12,736.88 = 3,562.32/x
  3. Step 3: Cross multiply
    8,494x = 12,736.88 × 3,562.32
  4. Step 4: Simplify right side
    8,494x = 45,372,842.36
  5. Step 5: Solve for x
    x = 45,372,842.36/8,494
  6. Step 6: Final answer
    x = 5,341.75

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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.