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Finding the Fourth Proportional to 7,771.33, 11,657.40 and 3,874.42

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Solution

The fourth proportional to 7,771.33, 11,657.40 and 3,874.42 is: 5,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.33 : 11,657.40 = 3,874.42 : x
  2. Step 2: Convert to fraction form
    7,771.33/11,657.40 = 3,874.42/x
  3. Step 3: Cross multiply
    7,771.33x = 11,657.40 × 3,874.42
  4. Step 4: Simplify right side
    7,771.33x = 45,165,663.71
  5. Step 5: Solve for x
    x = 45,165,663.71/7,771.33
  6. Step 6: Final answer
    x = 5,811.83

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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.