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Finding the Fourth Proportional to 11,767.76, 17,651.61 and 3,002.62

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Solution

The fourth proportional to 11,767.76, 17,651.61 and 3,002.62 is: 4,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.76 : 17,651.61 = 3,002.62 : x
  2. Step 2: Convert to fraction form
    11,767.76/17,651.61 = 3,002.62/x
  3. Step 3: Cross multiply
    11,767.76x = 17,651.61 × 3,002.62
  4. Step 4: Simplify right side
    11,767.76x = 53,001,077.22
  5. Step 5: Solve for x
    x = 53,001,077.22/11,767.76
  6. Step 6: Final answer
    x = 4,503.92

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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.