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Finding the Fourth Proportional to 11,478.26, 17,201.19 and 4,902.14

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Solution

The fourth proportional to 11,478.26, 17,201.19 and 4,902.14 is: 7,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.26 : 17,201.19 = 4,902.14 : x
  2. Step 2: Convert to fraction form
    11,478.26/17,201.19 = 4,902.14/x
  3. Step 3: Cross multiply
    11,478.26x = 17,201.19 × 4,902.14
  4. Step 4: Simplify right side
    11,478.26x = 84,322,641.55
  5. Step 5: Solve for x
    x = 84,322,641.55/11,478.26
  6. Step 6: Final answer
    x = 7,346.29

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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.