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Finding the Fourth Proportional to 7,144.58, 10,716.76 and 1,950.44

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Solution

The fourth proportional to 7,144.58, 10,716.76 and 1,950.44 is: 2,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.58 : 10,716.76 = 1,950.44 : x
  2. Step 2: Convert to fraction form
    7,144.58/10,716.76 = 1,950.44/x
  3. Step 3: Cross multiply
    7,144.58x = 10,716.76 × 1,950.44
  4. Step 4: Simplify right side
    7,144.58x = 20,902,397.37
  5. Step 5: Solve for x
    x = 20,902,397.37/7,144.58
  6. Step 6: Final answer
    x = 2,925.63

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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.