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Finding the Fourth Proportional to 7,145.16, 10,716.50 and 1,949.82

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Solution

The fourth proportional to 7,145.16, 10,716.50 and 1,949.82 is: 2,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.16 : 10,716.50 = 1,949.82 : x
  2. Step 2: Convert to fraction form
    7,145.16/10,716.50 = 1,949.82/x
  3. Step 3: Cross multiply
    7,145.16x = 10,716.50 × 1,949.82
  4. Step 4: Simplify right side
    7,145.16x = 20,895,246.03
  5. Step 5: Solve for x
    x = 20,895,246.03/7,145.16
  6. Step 6: Final answer
    x = 2,924.39

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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.