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Finding the Fourth Proportional to 8,211.96, 12,306.59 and 7,113.60

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Solution

The fourth proportional to 8,211.96, 12,306.59 and 7,113.60 is: 10,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.96 : 12,306.59 = 7,113.60 : x
  2. Step 2: Convert to fraction form
    8,211.96/12,306.59 = 7,113.60/x
  3. Step 3: Cross multiply
    8,211.96x = 12,306.59 × 7,113.60
  4. Step 4: Simplify right side
    8,211.96x = 87,544,123.06
  5. Step 5: Solve for x
    x = 87,544,123.06/8,211.96
  6. Step 6: Final answer
    x = 10,660.56

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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.