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Finding the Fourth Proportional to 7,028.56, 10,539.16 and 3,514.80

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Solution

The fourth proportional to 7,028.56, 10,539.16 and 3,514.80 is: 5,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.56 : 10,539.16 = 3,514.80 : x
  2. Step 2: Convert to fraction form
    7,028.56/10,539.16 = 3,514.80/x
  3. Step 3: Cross multiply
    7,028.56x = 10,539.16 × 3,514.80
  4. Step 4: Simplify right side
    7,028.56x = 37,043,039.57
  5. Step 5: Solve for x
    x = 37,043,039.57/7,028.56
  6. Step 6: Final answer
    x = 5,270.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.