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Finding the Fourth Proportional to 7,782.75, 10,738.98 and 4,425.71

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Solution

The fourth proportional to 7,782.75, 10,738.98 and 4,425.71 is: 6,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.75 : 10,738.98 = 4,425.71 : x
  2. Step 2: Convert to fraction form
    7,782.75/10,738.98 = 4,425.71/x
  3. Step 3: Cross multiply
    7,782.75x = 10,738.98 × 4,425.71
  4. Step 4: Simplify right side
    7,782.75x = 47,527,557.48
  5. Step 5: Solve for x
    x = 47,527,557.48/7,782.75
  6. Step 6: Final answer
    x = 6,106.78

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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.