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Finding the Fourth Proportional to 7,772.57, 10,707.38 and 6,422.56

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Solution

The fourth proportional to 7,772.57, 10,707.38 and 6,422.56 is: 8,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.57 : 10,707.38 = 6,422.56 : x
  2. Step 2: Convert to fraction form
    7,772.57/10,707.38 = 6,422.56/x
  3. Step 3: Cross multiply
    7,772.57x = 10,707.38 × 6,422.56
  4. Step 4: Simplify right side
    7,772.57x = 68,768,790.49
  5. Step 5: Solve for x
    x = 68,768,790.49/7,772.57
  6. Step 6: Final answer
    x = 8,847.63

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Why These Related Problems?

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