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Finding the Fourth Proportional to 6,890.85, 9,523.35 and 5,211.72

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Solution

The fourth proportional to 6,890.85, 9,523.35 and 5,211.72 is: 7,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.85 : 9,523.35 = 5,211.72 : x
  2. Step 2: Convert to fraction form
    6,890.85/9,523.35 = 5,211.72/x
  3. Step 3: Cross multiply
    6,890.85x = 9,523.35 × 5,211.72
  4. Step 4: Simplify right side
    6,890.85x = 49,633,033.66
  5. Step 5: Solve for x
    x = 49,633,033.66/6,890.85
  6. Step 6: Final answer
    x = 7,202.74

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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.