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Finding the Fourth Proportional to 12,002.67, 16,561.62 and 6,965.73

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Solution

The fourth proportional to 12,002.67, 16,561.62 and 6,965.73 is: 9,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.67 : 16,561.62 = 6,965.73 : x
  2. Step 2: Convert to fraction form
    12,002.67/16,561.62 = 6,965.73/x
  3. Step 3: Cross multiply
    12,002.67x = 16,561.62 × 6,965.73
  4. Step 4: Simplify right side
    12,002.67x = 115,363,773.28
  5. Step 5: Solve for x
    x = 115,363,773.28/12,002.67
  6. Step 6: Final answer
    x = 9,611.51

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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.