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Finding the Fourth Proportional to 7,574.34, 11,360.69 and 2,028.24

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Solution

The fourth proportional to 7,574.34, 11,360.69 and 2,028.24 is: 3,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.34 : 11,360.69 = 2,028.24 : x
  2. Step 2: Convert to fraction form
    7,574.34/11,360.69 = 2,028.24/x
  3. Step 3: Cross multiply
    7,574.34x = 11,360.69 × 2,028.24
  4. Step 4: Simplify right side
    7,574.34x = 23,042,205.89
  5. Step 5: Solve for x
    x = 23,042,205.89/7,574.34
  6. Step 6: Final answer
    x = 3,042.14

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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.