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Finding the Fourth Proportional to 7,965.48, 11,949.93 and 2,419.23

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Solution

The fourth proportional to 7,965.48, 11,949.93 and 2,419.23 is: 3,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.48 : 11,949.93 = 2,419.23 : x
  2. Step 2: Convert to fraction form
    7,965.48/11,949.93 = 2,419.23/x
  3. Step 3: Cross multiply
    7,965.48x = 11,949.93 × 2,419.23
  4. Step 4: Simplify right side
    7,965.48x = 28,909,629.15
  5. Step 5: Solve for x
    x = 28,909,629.15/7,965.48
  6. Step 6: Final answer
    x = 3,629.36

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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.