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Finding the Fourth Proportional to 8,537.26, 12,811.30 and 3,343

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Solution

The fourth proportional to 8,537.26, 12,811.30 and 3,343 is: 5,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.26 : 12,811.30 = 3,343 : x
  2. Step 2: Convert to fraction form
    8,537.26/12,811.30 = 3,343/x
  3. Step 3: Cross multiply
    8,537.26x = 12,811.30 × 3,343
  4. Step 4: Simplify right side
    8,537.26x = 42,828,175.90
  5. Step 5: Solve for x
    x = 42,828,175.90/8,537.26
  6. Step 6: Final answer
    x = 5,016.62

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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.