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Finding the Fourth Proportional to 11,756.52, 17,630.33 and 3,857.13

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Solution

The fourth proportional to 11,756.52, 17,630.33 and 3,857.13 is: 5,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.52 : 17,630.33 = 3,857.13 : x
  2. Step 2: Convert to fraction form
    11,756.52/17,630.33 = 3,857.13/x
  3. Step 3: Cross multiply
    11,756.52x = 17,630.33 × 3,857.13
  4. Step 4: Simplify right side
    11,756.52x = 68,002,455.47
  5. Step 5: Solve for x
    x = 68,002,455.47/11,756.52
  6. Step 6: Final answer
    x = 5,784.23

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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.