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Finding the Fourth Proportional to 7,629.09, 11,437.44 and 7,014.02

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Solution

The fourth proportional to 7,629.09, 11,437.44 and 7,014.02 is: 10,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.09 : 11,437.44 = 7,014.02 : x
  2. Step 2: Convert to fraction form
    7,629.09/11,437.44 = 7,014.02/x
  3. Step 3: Cross multiply
    7,629.09x = 11,437.44 × 7,014.02
  4. Step 4: Simplify right side
    7,629.09x = 80,222,375.72
  5. Step 5: Solve for x
    x = 80,222,375.72/7,629.09
  6. Step 6: Final answer
    x = 10,515.33

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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.