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Finding the Fourth Proportional to 8,111.85, 11,191.74 and 6,404.94

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Solution

The fourth proportional to 8,111.85, 11,191.74 and 6,404.94 is: 8,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.85 : 11,191.74 = 6,404.94 : x
  2. Step 2: Convert to fraction form
    8,111.85/11,191.74 = 6,404.94/x
  3. Step 3: Cross multiply
    8,111.85x = 11,191.74 × 6,404.94
  4. Step 4: Simplify right side
    8,111.85x = 71,682,423.20
  5. Step 5: Solve for x
    x = 71,682,423.20/8,111.85
  6. Step 6: Final answer
    x = 8,836.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.