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Finding the Fourth Proportional to 8,166.67, 12,248.34 and 2,321.71

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Solution

The fourth proportional to 8,166.67, 12,248.34 and 2,321.71 is: 3,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.67 : 12,248.34 = 2,321.71 : x
  2. Step 2: Convert to fraction form
    8,166.67/12,248.34 = 2,321.71/x
  3. Step 3: Cross multiply
    8,166.67x = 12,248.34 × 2,321.71
  4. Step 4: Simplify right side
    8,166.67x = 28,437,093.46
  5. Step 5: Solve for x
    x = 28,437,093.46/8,166.67
  6. Step 6: Final answer
    x = 3,482.09

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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.