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Finding the Fourth Proportional to 8,211.85, 12,323.85 and 6,108.28

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Solution

The fourth proportional to 8,211.85, 12,323.85 and 6,108.28 is: 9,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.85 : 12,323.85 = 6,108.28 : x
  2. Step 2: Convert to fraction form
    8,211.85/12,323.85 = 6,108.28/x
  3. Step 3: Cross multiply
    8,211.85x = 12,323.85 × 6,108.28
  4. Step 4: Simplify right side
    8,211.85x = 75,277,472.76
  5. Step 5: Solve for x
    x = 75,277,472.76/8,211.85
  6. Step 6: Final answer
    x = 9,166.94

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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.