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Finding the Fourth Proportional to 11,681.82, 17,524.71 and 5,107.86

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Solution

The fourth proportional to 11,681.82, 17,524.71 and 5,107.86 is: 7,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.82 : 17,524.71 = 5,107.86 : x
  2. Step 2: Convert to fraction form
    11,681.82/17,524.71 = 5,107.86/x
  3. Step 3: Cross multiply
    11,681.82x = 17,524.71 × 5,107.86
  4. Step 4: Simplify right side
    11,681.82x = 89,513,765.22
  5. Step 5: Solve for x
    x = 89,513,765.22/11,681.82
  6. Step 6: Final answer
    x = 7,662.66

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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.