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Finding the Fourth Proportional to 7,228.28, 10,842.84 and 2,033.76

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Solution

The fourth proportional to 7,228.28, 10,842.84 and 2,033.76 is: 3,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.28 : 10,842.84 = 2,033.76 : x
  2. Step 2: Convert to fraction form
    7,228.28/10,842.84 = 2,033.76/x
  3. Step 3: Cross multiply
    7,228.28x = 10,842.84 × 2,033.76
  4. Step 4: Simplify right side
    7,228.28x = 22,051,734.28
  5. Step 5: Solve for x
    x = 22,051,734.28/7,228.28
  6. Step 6: Final answer
    x = 3,050.76

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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.