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Finding the Fourth Proportional to 11,600.35, 17,386.48 and 5,351.83

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Solution

The fourth proportional to 11,600.35, 17,386.48 and 5,351.83 is: 8,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.35 : 17,386.48 = 5,351.83 : x
  2. Step 2: Convert to fraction form
    11,600.35/17,386.48 = 5,351.83/x
  3. Step 3: Cross multiply
    11,600.35x = 17,386.48 × 5,351.83
  4. Step 4: Simplify right side
    11,600.35x = 93,049,485.26
  5. Step 5: Solve for x
    x = 93,049,485.26/11,600.35
  6. Step 6: Final answer
    x = 8,021.27

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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.