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Finding the Fourth Proportional to 11,783.17, 17,668.07 and 3,883.55

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Solution

The fourth proportional to 11,783.17, 17,668.07 and 3,883.55 is: 5,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.17 : 17,668.07 = 3,883.55 : x
  2. Step 2: Convert to fraction form
    11,783.17/17,668.07 = 3,883.55/x
  3. Step 3: Cross multiply
    11,783.17x = 17,668.07 × 3,883.55
  4. Step 4: Simplify right side
    11,783.17x = 68,614,761.90
  5. Step 5: Solve for x
    x = 68,614,761.90/11,783.17
  6. Step 6: Final answer
    x = 5,823.12

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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.