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Finding the Fourth Proportional to 7,292.70, 10,942.52 and 3,782.07

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Solution

The fourth proportional to 7,292.70, 10,942.52 and 3,782.07 is: 5,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.70 : 10,942.52 = 3,782.07 : x
  2. Step 2: Convert to fraction form
    7,292.70/10,942.52 = 3,782.07/x
  3. Step 3: Cross multiply
    7,292.70x = 10,942.52 × 3,782.07
  4. Step 4: Simplify right side
    7,292.70x = 41,385,357.71
  5. Step 5: Solve for x
    x = 41,385,357.71/7,292.70
  6. Step 6: Final answer
    x = 5,674.90

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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.