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Finding the Fourth Proportional to 8,123.08, 12,183 and 2,279.74

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Solution

The fourth proportional to 8,123.08, 12,183 and 2,279.74 is: 3,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.08 : 12,183 = 2,279.74 : x
  2. Step 2: Convert to fraction form
    8,123.08/12,183 = 2,279.74/x
  3. Step 3: Cross multiply
    8,123.08x = 12,183 × 2,279.74
  4. Step 4: Simplify right side
    8,123.08x = 27,774,072.42
  5. Step 5: Solve for x
    x = 27,774,072.42/8,123.08
  6. Step 6: Final answer
    x = 3,419.16

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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.