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Finding the Fourth Proportional to 7,172.50, 10,762.86 and 2,789.39

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Solution

The fourth proportional to 7,172.50, 10,762.86 and 2,789.39 is: 4,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.50 : 10,762.86 = 2,789.39 : x
  2. Step 2: Convert to fraction form
    7,172.50/10,762.86 = 2,789.39/x
  3. Step 3: Cross multiply
    7,172.50x = 10,762.86 × 2,789.39
  4. Step 4: Simplify right side
    7,172.50x = 30,021,814.06
  5. Step 5: Solve for x
    x = 30,021,814.06/7,172.50
  6. Step 6: Final answer
    x = 4,185.68

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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.