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Finding the Fourth Proportional to 8,504.85, 12,757.28 and 4,633.86

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Solution

The fourth proportional to 8,504.85, 12,757.28 and 4,633.86 is: 6,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.85 : 12,757.28 = 4,633.86 : x
  2. Step 2: Convert to fraction form
    8,504.85/12,757.28 = 4,633.86/x
  3. Step 3: Cross multiply
    8,504.85x = 12,757.28 × 4,633.86
  4. Step 4: Simplify right side
    8,504.85x = 59,115,449.50
  5. Step 5: Solve for x
    x = 59,115,449.50/8,504.85
  6. Step 6: Final answer
    x = 6,950.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.