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Finding the Fourth Proportional to 7,821.14, 11,726.22 and 3,922.88

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Solution

The fourth proportional to 7,821.14, 11,726.22 and 3,922.88 is: 5,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.14 : 11,726.22 = 3,922.88 : x
  2. Step 2: Convert to fraction form
    7,821.14/11,726.22 = 3,922.88/x
  3. Step 3: Cross multiply
    7,821.14x = 11,726.22 × 3,922.88
  4. Step 4: Simplify right side
    7,821.14x = 46,000,553.91
  5. Step 5: Solve for x
    x = 46,000,553.91/7,821.14
  6. Step 6: Final answer
    x = 5,881.57

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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.