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Finding the Fourth Proportional to 8,212.88, 11,334.12 and 4,676.96

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Solution

The fourth proportional to 8,212.88, 11,334.12 and 4,676.96 is: 6,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.88 : 11,334.12 = 4,676.96 : x
  2. Step 2: Convert to fraction form
    8,212.88/11,334.12 = 4,676.96/x
  3. Step 3: Cross multiply
    8,212.88x = 11,334.12 × 4,676.96
  4. Step 4: Simplify right side
    8,212.88x = 53,009,225.88
  5. Step 5: Solve for x
    x = 53,009,225.88/8,212.88
  6. Step 6: Final answer
    x = 6,454.40

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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.