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Finding the Fourth Proportional to 8,535.85, 12,792.84 and 6,583.96

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Solution

The fourth proportional to 8,535.85, 12,792.84 and 6,583.96 is: 9,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.85 : 12,792.84 = 6,583.96 : x
  2. Step 2: Convert to fraction form
    8,535.85/12,792.84 = 6,583.96/x
  3. Step 3: Cross multiply
    8,535.85x = 12,792.84 × 6,583.96
  4. Step 4: Simplify right side
    8,535.85x = 84,227,546.85
  5. Step 5: Solve for x
    x = 84,227,546.85/8,535.85
  6. Step 6: Final answer
    x = 9,867.51

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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.