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Finding the Fourth Proportional to 7,965.90, 11,951.46 and 2,419.47

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Solution

The fourth proportional to 7,965.90, 11,951.46 and 2,419.47 is: 3,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.90 : 11,951.46 = 2,419.47 : x
  2. Step 2: Convert to fraction form
    7,965.90/11,951.46 = 2,419.47/x
  3. Step 3: Cross multiply
    7,965.90x = 11,951.46 × 2,419.47
  4. Step 4: Simplify right side
    7,965.90x = 28,916,198.93
  5. Step 5: Solve for x
    x = 28,916,198.93/7,965.90
  6. Step 6: Final answer
    x = 3,630.00

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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.