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Finding the Fourth Proportional to 7,574.49, 11,362.82 and 2,028.02

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Solution

The fourth proportional to 7,574.49, 11,362.82 and 2,028.02 is: 3,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.49 : 11,362.82 = 2,028.02 : x
  2. Step 2: Convert to fraction form
    7,574.49/11,362.82 = 2,028.02/x
  3. Step 3: Cross multiply
    7,574.49x = 11,362.82 × 2,028.02
  4. Step 4: Simplify right side
    7,574.49x = 23,043,959.26
  5. Step 5: Solve for x
    x = 23,043,959.26/7,574.49
  6. Step 6: Final answer
    x = 3,042.31

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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.