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Finding the Fourth Proportional to 7,144.36, 10,717.24 and 1,950.22

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Solution

The fourth proportional to 7,144.36, 10,717.24 and 1,950.22 is: 2,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.36 : 10,717.24 = 1,950.22 : x
  2. Step 2: Convert to fraction form
    7,144.36/10,717.24 = 1,950.22/x
  3. Step 3: Cross multiply
    7,144.36x = 10,717.24 × 1,950.22
  4. Step 4: Simplify right side
    7,144.36x = 20,900,975.79
  5. Step 5: Solve for x
    x = 20,900,975.79/7,144.36
  6. Step 6: Final answer
    x = 2,925.52

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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.