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Finding the Fourth Proportional to 8,216.94, 12,319.26 and 2,666.97

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Solution

The fourth proportional to 8,216.94, 12,319.26 and 2,666.97 is: 3,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.94 : 12,319.26 = 2,666.97 : x
  2. Step 2: Convert to fraction form
    8,216.94/12,319.26 = 2,666.97/x
  3. Step 3: Cross multiply
    8,216.94x = 12,319.26 × 2,666.97
  4. Step 4: Simplify right side
    8,216.94x = 32,855,083.51
  5. Step 5: Solve for x
    x = 32,855,083.51/8,216.94
  6. Step 6: Final answer
    x = 3,998.46

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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.