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Finding the Fourth Proportional to 7,923.46, 10,922.73 and 6,031.75

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Solution

The fourth proportional to 7,923.46, 10,922.73 and 6,031.75 is: 8,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.46 : 10,922.73 = 6,031.75 : x
  2. Step 2: Convert to fraction form
    7,923.46/10,922.73 = 6,031.75/x
  3. Step 3: Cross multiply
    7,923.46x = 10,922.73 × 6,031.75
  4. Step 4: Simplify right side
    7,923.46x = 65,883,176.68
  5. Step 5: Solve for x
    x = 65,883,176.68/7,923.46
  6. Step 6: Final answer
    x = 8,314.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.