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Finding the Fourth Proportional to 11,800.31, 17,705.33 and 10,619.33

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Solution

The fourth proportional to 11,800.31, 17,705.33 and 10,619.33 is: 15,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.31 : 17,705.33 = 10,619.33 : x
  2. Step 2: Convert to fraction form
    11,800.31/17,705.33 = 10,619.33/x
  3. Step 3: Cross multiply
    11,800.31x = 17,705.33 × 10,619.33
  4. Step 4: Simplify right side
    11,800.31x = 188,018,742.03
  5. Step 5: Solve for x
    x = 188,018,742.03/11,800.31
  6. Step 6: Final answer
    x = 15,933.37

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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.