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Finding the Fourth Proportional to 11,828.22, 16,321.14 and 7,046.70

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Solution

The fourth proportional to 11,828.22, 16,321.14 and 7,046.70 is: 9,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.22 : 16,321.14 = 7,046.70 : x
  2. Step 2: Convert to fraction form
    11,828.22/16,321.14 = 7,046.70/x
  3. Step 3: Cross multiply
    11,828.22x = 16,321.14 × 7,046.70
  4. Step 4: Simplify right side
    11,828.22x = 115,010,177.24
  5. Step 5: Solve for x
    x = 115,010,177.24/11,828.22
  6. Step 6: Final answer
    x = 9,723.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.