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Finding the Fourth Proportional to 7,803.50, 11,694.43 and 4,289.27

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Solution

The fourth proportional to 7,803.50, 11,694.43 and 4,289.27 is: 6,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.50 : 11,694.43 = 4,289.27 : x
  2. Step 2: Convert to fraction form
    7,803.50/11,694.43 = 4,289.27/x
  3. Step 3: Cross multiply
    7,803.50x = 11,694.43 × 4,289.27
  4. Step 4: Simplify right side
    7,803.50x = 50,160,567.77
  5. Step 5: Solve for x
    x = 50,160,567.77/7,803.50
  6. Step 6: Final answer
    x = 6,427.96

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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.