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Finding the Fourth Proportional to 11,612.96, 17,419.40 and 3,293.05

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Solution

The fourth proportional to 11,612.96, 17,419.40 and 3,293.05 is: 4,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.96 : 17,419.40 = 3,293.05 : x
  2. Step 2: Convert to fraction form
    11,612.96/17,419.40 = 3,293.05/x
  3. Step 3: Cross multiply
    11,612.96x = 17,419.40 × 3,293.05
  4. Step 4: Simplify right side
    11,612.96x = 57,362,868.07
  5. Step 5: Solve for x
    x = 57,362,868.07/11,612.96
  6. Step 6: Final answer
    x = 4,939.56

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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.