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Finding the Fourth Proportional to 7,866.10, 11,789.43 and 4,736.26

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Solution

The fourth proportional to 7,866.10, 11,789.43 and 4,736.26 is: 7,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.10 : 11,789.43 = 4,736.26 : x
  2. Step 2: Convert to fraction form
    7,866.10/11,789.43 = 4,736.26/x
  3. Step 3: Cross multiply
    7,866.10x = 11,789.43 × 4,736.26
  4. Step 4: Simplify right side
    7,866.10x = 55,837,805.73
  5. Step 5: Solve for x
    x = 55,837,805.73/7,866.10
  6. Step 6: Final answer
    x = 7,098.54

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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.