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Finding the Fourth Proportional to 8,212.34, 12,314.84 and 2,367.58

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Solution

The fourth proportional to 8,212.34, 12,314.84 and 2,367.58 is: 3,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.34 : 12,314.84 = 2,367.58 : x
  2. Step 2: Convert to fraction form
    8,212.34/12,314.84 = 2,367.58/x
  3. Step 3: Cross multiply
    8,212.34x = 12,314.84 × 2,367.58
  4. Step 4: Simplify right side
    8,212.34x = 29,156,368.89
  5. Step 5: Solve for x
    x = 29,156,368.89/8,212.34
  6. Step 6: Final answer
    x = 3,550.31

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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.