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Finding the Fourth Proportional to 7,172.99, 10,766.18 and 3,665.42

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Solution

The fourth proportional to 7,172.99, 10,766.18 and 3,665.42 is: 5,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.99 : 10,766.18 = 3,665.42 : x
  2. Step 2: Convert to fraction form
    7,172.99/10,766.18 = 3,665.42/x
  3. Step 3: Cross multiply
    7,172.99x = 10,766.18 × 3,665.42
  4. Step 4: Simplify right side
    7,172.99x = 39,462,571.50
  5. Step 5: Solve for x
    x = 39,462,571.50/7,172.99
  6. Step 6: Final answer
    x = 5,501.55

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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.