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Finding the Fourth Proportional to 8,452.96, 11,664.07 and 4,675.66

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Solution

The fourth proportional to 8,452.96, 11,664.07 and 4,675.66 is: 6,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.96 : 11,664.07 = 4,675.66 : x
  2. Step 2: Convert to fraction form
    8,452.96/11,664.07 = 4,675.66/x
  3. Step 3: Cross multiply
    8,452.96x = 11,664.07 × 4,675.66
  4. Step 4: Simplify right side
    8,452.96x = 54,537,184.69
  5. Step 5: Solve for x
    x = 54,537,184.69/8,452.96
  6. Step 6: Final answer
    x = 6,451.85

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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.