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Finding the Fourth Proportional to 11,852.92, 17,782.08 and 4,061.26

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Solution

The fourth proportional to 11,852.92, 17,782.08 and 4,061.26 is: 6,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.92 : 17,782.08 = 4,061.26 : x
  2. Step 2: Convert to fraction form
    11,852.92/17,782.08 = 4,061.26/x
  3. Step 3: Cross multiply
    11,852.92x = 17,782.08 × 4,061.26
  4. Step 4: Simplify right side
    11,852.92x = 72,217,650.22
  5. Step 5: Solve for x
    x = 72,217,650.22/11,852.92
  6. Step 6: Final answer
    x = 6,092.82

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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.