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Finding the Fourth Proportional to 11,763.96, 17,646.36 and 5,917.38

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Solution

The fourth proportional to 11,763.96, 17,646.36 and 5,917.38 is: 8,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.96 : 17,646.36 = 5,917.38 : x
  2. Step 2: Convert to fraction form
    11,763.96/17,646.36 = 5,917.38/x
  3. Step 3: Cross multiply
    11,763.96x = 17,646.36 × 5,917.38
  4. Step 4: Simplify right side
    11,763.96x = 104,420,217.74
  5. Step 5: Solve for x
    x = 104,420,217.74/11,763.96
  6. Step 6: Final answer
    x = 8,876.28

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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.