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Finding the Fourth Proportional to 7,782.85, 11,669.57 and 3,103.58

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Solution

The fourth proportional to 7,782.85, 11,669.57 and 3,103.58 is: 4,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.85 : 11,669.57 = 3,103.58 : x
  2. Step 2: Convert to fraction form
    7,782.85/11,669.57 = 3,103.58/x
  3. Step 3: Cross multiply
    7,782.85x = 11,669.57 × 3,103.58
  4. Step 4: Simplify right side
    7,782.85x = 36,217,469.36
  5. Step 5: Solve for x
    x = 36,217,469.36/7,782.85
  6. Step 6: Final answer
    x = 4,653.50

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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.