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Finding the Fourth Proportional to 7,212.80, 10,821 and 2,018.63

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Solution

The fourth proportional to 7,212.80, 10,821 and 2,018.63 is: 3,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.80 : 10,821 = 2,018.63 : x
  2. Step 2: Convert to fraction form
    7,212.80/10,821 = 2,018.63/x
  3. Step 3: Cross multiply
    7,212.80x = 10,821 × 2,018.63
  4. Step 4: Simplify right side
    7,212.80x = 21,843,595.23
  5. Step 5: Solve for x
    x = 21,843,595.23/7,212.80
  6. Step 6: Final answer
    x = 3,028.45

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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.