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Finding the Fourth Proportional to 8,165.82, 12,248.73 and 2,321.67

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Solution

The fourth proportional to 8,165.82, 12,248.73 and 2,321.67 is: 3,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.82 : 12,248.73 = 2,321.67 : x
  2. Step 2: Convert to fraction form
    8,165.82/12,248.73 = 2,321.67/x
  3. Step 3: Cross multiply
    8,165.82x = 12,248.73 × 2,321.67
  4. Step 4: Simplify right side
    8,165.82x = 28,437,508.98
  5. Step 5: Solve for x
    x = 28,437,508.98/8,165.82
  6. Step 6: Final answer
    x = 3,482.51

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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.