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Finding the Fourth Proportional to 8,200.68, 11,310.84 and 6,428.76

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Solution

The fourth proportional to 8,200.68, 11,310.84 and 6,428.76 is: 8,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.68 : 11,310.84 = 6,428.76 : x
  2. Step 2: Convert to fraction form
    8,200.68/11,310.84 = 6,428.76/x
  3. Step 3: Cross multiply
    8,200.68x = 11,310.84 × 6,428.76
  4. Step 4: Simplify right side
    8,200.68x = 72,714,675.76
  5. Step 5: Solve for x
    x = 72,714,675.76/8,200.68
  6. Step 6: Final answer
    x = 8,866.91

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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.