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Finding the Fourth Proportional to 8,213.70, 12,313.80 and 3,537.30

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Solution

The fourth proportional to 8,213.70, 12,313.80 and 3,537.30 is: 5,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.70 : 12,313.80 = 3,537.30 : x
  2. Step 2: Convert to fraction form
    8,213.70/12,313.80 = 3,537.30/x
  3. Step 3: Cross multiply
    8,213.70x = 12,313.80 × 3,537.30
  4. Step 4: Simplify right side
    8,213.70x = 43,557,604.74
  5. Step 5: Solve for x
    x = 43,557,604.74/8,213.70
  6. Step 6: Final answer
    x = 5,303.04

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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.