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Finding the Fourth Proportional to 8,166.42, 12,245.67 and 4,790.14

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Solution

The fourth proportional to 8,166.42, 12,245.67 and 4,790.14 is: 7,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.42 : 12,245.67 = 4,790.14 : x
  2. Step 2: Convert to fraction form
    8,166.42/12,245.67 = 4,790.14/x
  3. Step 3: Cross multiply
    8,166.42x = 12,245.67 × 4,790.14
  4. Step 4: Simplify right side
    8,166.42x = 58,658,412.47
  5. Step 5: Solve for x
    x = 58,658,412.47/8,166.42
  6. Step 6: Final answer
    x = 7,182.88

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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.