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Finding the Fourth Proportional to 8,537.36, 12,805.94 and 2,212.24

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Solution

The fourth proportional to 8,537.36, 12,805.94 and 2,212.24 is: 3,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.36 : 12,805.94 = 2,212.24 : x
  2. Step 2: Convert to fraction form
    8,537.36/12,805.94 = 2,212.24/x
  3. Step 3: Cross multiply
    8,537.36x = 12,805.94 × 2,212.24
  4. Step 4: Simplify right side
    8,537.36x = 28,329,812.71
  5. Step 5: Solve for x
    x = 28,329,812.71/8,537.36
  6. Step 6: Final answer
    x = 3,318.33

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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.