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Finding the Fourth Proportional to 8,435.76, 12,659.22 and 3,505.38

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Solution

The fourth proportional to 8,435.76, 12,659.22 and 3,505.38 is: 5,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.76 : 12,659.22 = 3,505.38 : x
  2. Step 2: Convert to fraction form
    8,435.76/12,659.22 = 3,505.38/x
  3. Step 3: Cross multiply
    8,435.76x = 12,659.22 × 3,505.38
  4. Step 4: Simplify right side
    8,435.76x = 44,375,376.60
  5. Step 5: Solve for x
    x = 44,375,376.60/8,435.76
  6. Step 6: Final answer
    x = 5,260.39

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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.