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Finding the Fourth Proportional to 11,767.81, 17,651.58 and 3,002.63

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Solution

The fourth proportional to 11,767.81, 17,651.58 and 3,002.63 is: 4,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.81 : 17,651.58 = 3,002.63 : x
  2. Step 2: Convert to fraction form
    11,767.81/17,651.58 = 3,002.63/x
  3. Step 3: Cross multiply
    11,767.81x = 17,651.58 × 3,002.63
  4. Step 4: Simplify right side
    11,767.81x = 53,001,163.66
  5. Step 5: Solve for x
    x = 53,001,163.66/11,767.81
  6. Step 6: Final answer
    x = 4,503.91

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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.