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Finding the Fourth Proportional to 8,454.80, 11,672.28 and 6,329.56

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Solution

The fourth proportional to 8,454.80, 11,672.28 and 6,329.56 is: 8,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.80 : 11,672.28 = 6,329.56 : x
  2. Step 2: Convert to fraction form
    8,454.80/11,672.28 = 6,329.56/x
  3. Step 3: Cross multiply
    8,454.80x = 11,672.28 × 6,329.56
  4. Step 4: Simplify right side
    8,454.80x = 73,880,364.95
  5. Step 5: Solve for x
    x = 73,880,364.95/8,454.80
  6. Step 6: Final answer
    x = 8,738.27

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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.