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Finding the Fourth Proportional to 7,965.87, 11,948.84 and 2,419.26

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Solution

The fourth proportional to 7,965.87, 11,948.84 and 2,419.26 is: 3,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.87 : 11,948.84 = 2,419.26 : x
  2. Step 2: Convert to fraction form
    7,965.87/11,948.84 = 2,419.26/x
  3. Step 3: Cross multiply
    7,965.87x = 11,948.84 × 2,419.26
  4. Step 4: Simplify right side
    7,965.87x = 28,907,302.83
  5. Step 5: Solve for x
    x = 28,907,302.83/7,965.87
  6. Step 6: Final answer
    x = 3,628.90

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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.