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Finding the Fourth Proportional to 8,435.64, 12,634.33 and 6,763.96

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Solution

The fourth proportional to 8,435.64, 12,634.33 and 6,763.96 is: 10,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.64 : 12,634.33 = 6,763.96 : x
  2. Step 2: Convert to fraction form
    8,435.64/12,634.33 = 6,763.96/x
  3. Step 3: Cross multiply
    8,435.64x = 12,634.33 × 6,763.96
  4. Step 4: Simplify right side
    8,435.64x = 85,458,043.24
  5. Step 5: Solve for x
    x = 85,458,043.24/8,435.64
  6. Step 6: Final answer
    x = 10,130.59

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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.