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Finding the Fourth Proportional to 11,409.83, 17,100.61 and 6,464.48

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Solution

The fourth proportional to 11,409.83, 17,100.61 and 6,464.48 is: 9,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.83 : 17,100.61 = 6,464.48 : x
  2. Step 2: Convert to fraction form
    11,409.83/17,100.61 = 6,464.48/x
  3. Step 3: Cross multiply
    11,409.83x = 17,100.61 × 6,464.48
  4. Step 4: Simplify right side
    11,409.83x = 110,546,551.33
  5. Step 5: Solve for x
    x = 110,546,551.33/11,409.83
  6. Step 6: Final answer
    x = 9,688.71

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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.