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Finding the Fourth Proportional to 11,762.58, 17,647.92 and 5,914.38

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Solution

The fourth proportional to 11,762.58, 17,647.92 and 5,914.38 is: 8,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.58 : 17,647.92 = 5,914.38 : x
  2. Step 2: Convert to fraction form
    11,762.58/17,647.92 = 5,914.38/x
  3. Step 3: Cross multiply
    11,762.58x = 17,647.92 × 5,914.38
  4. Step 4: Simplify right side
    11,762.58x = 104,376,505.09
  5. Step 5: Solve for x
    x = 104,376,505.09/11,762.58
  6. Step 6: Final answer
    x = 8,873.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.