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Finding the Fourth Proportional to 8,123.79, 12,181.32 and 4,173.42

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Solution

The fourth proportional to 8,123.79, 12,181.32 and 4,173.42 is: 6,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.79 : 12,181.32 = 4,173.42 : x
  2. Step 2: Convert to fraction form
    8,123.79/12,181.32 = 4,173.42/x
  3. Step 3: Cross multiply
    8,123.79x = 12,181.32 × 4,173.42
  4. Step 4: Simplify right side
    8,123.79x = 50,837,764.51
  5. Step 5: Solve for x
    x = 50,837,764.51/8,123.79
  6. Step 6: Final answer
    x = 6,257.89

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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.