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Finding the Fourth Proportional to 7,212.80, 10,820.28 and 3,052.80

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Solution

The fourth proportional to 7,212.80, 10,820.28 and 3,052.80 is: 4,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.80 : 10,820.28 = 3,052.80 : x
  2. Step 2: Convert to fraction form
    7,212.80/10,820.28 = 3,052.80/x
  3. Step 3: Cross multiply
    7,212.80x = 10,820.28 × 3,052.80
  4. Step 4: Simplify right side
    7,212.80x = 33,032,150.78
  5. Step 5: Solve for x
    x = 33,032,150.78/7,212.80
  6. Step 6: Final answer
    x = 4,579.66

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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.