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Finding the Fourth Proportional to 8,354.74, 12,533.56 and 2,808.62

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Solution

The fourth proportional to 8,354.74, 12,533.56 and 2,808.62 is: 4,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.74 : 12,533.56 = 2,808.62 : x
  2. Step 2: Convert to fraction form
    8,354.74/12,533.56 = 2,808.62/x
  3. Step 3: Cross multiply
    8,354.74x = 12,533.56 × 2,808.62
  4. Step 4: Simplify right side
    8,354.74x = 35,202,007.29
  5. Step 5: Solve for x
    x = 35,202,007.29/8,354.74
  6. Step 6: Final answer
    x = 4,213.42

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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.