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Finding the Fourth Proportional to 11,767.41, 17,651.72 and 3,002.40

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Solution

The fourth proportional to 11,767.41, 17,651.72 and 3,002.40 is: 4,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.41 : 17,651.72 = 3,002.40 : x
  2. Step 2: Convert to fraction form
    11,767.41/17,651.72 = 3,002.40/x
  3. Step 3: Cross multiply
    11,767.41x = 17,651.72 × 3,002.40
  4. Step 4: Simplify right side
    11,767.41x = 52,997,524.13
  5. Step 5: Solve for x
    x = 52,997,524.13/11,767.41
  6. Step 6: Final answer
    x = 4,503.75

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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.