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Finding the Fourth Proportional to 8,211.96, 11,336.16 and 6,390.84

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Solution

The fourth proportional to 8,211.96, 11,336.16 and 6,390.84 is: 8,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.96 : 11,336.16 = 6,390.84 : x
  2. Step 2: Convert to fraction form
    8,211.96/11,336.16 = 6,390.84/x
  3. Step 3: Cross multiply
    8,211.96x = 11,336.16 × 6,390.84
  4. Step 4: Simplify right side
    8,211.96x = 72,447,584.77
  5. Step 5: Solve for x
    x = 72,447,584.77/8,211.96
  6. Step 6: Final answer
    x = 8,822.20

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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.