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Finding the Fourth Proportional to 8,928.56, 12,321.21 and 4,949.64

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Solution

The fourth proportional to 8,928.56, 12,321.21 and 4,949.64 is: 6,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,928.56 : 12,321.21 = 4,949.64 : x
  2. Step 2: Convert to fraction form
    8,928.56/12,321.21 = 4,949.64/x
  3. Step 3: Cross multiply
    8,928.56x = 12,321.21 × 4,949.64
  4. Step 4: Simplify right side
    8,928.56x = 60,985,553.86
  5. Step 5: Solve for x
    x = 60,985,553.86/8,928.56
  6. Step 6: Final answer
    x = 6,830.39

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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.