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Finding the Fourth Proportional to 8,020, 12,028.40 and 2,826.08

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Solution

The fourth proportional to 8,020, 12,028.40 and 2,826.08 is: 4,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020 : 12,028.40 = 2,826.08 : x
  2. Step 2: Convert to fraction form
    8,020/12,028.40 = 2,826.08/x
  3. Step 3: Cross multiply
    8,020x = 12,028.40 × 2,826.08
  4. Step 4: Simplify right side
    8,020x = 33,993,220.67
  5. Step 5: Solve for x
    x = 33,993,220.67/8,020
  6. Step 6: Final answer
    x = 4,238.56

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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.