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Finding the Fourth Proportional to 7,628.80, 11,443.56 and 2,698.48

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Solution

The fourth proportional to 7,628.80, 11,443.56 and 2,698.48 is: 4,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.80 : 11,443.56 = 2,698.48 : x
  2. Step 2: Convert to fraction form
    7,628.80/11,443.56 = 2,698.48/x
  3. Step 3: Cross multiply
    7,628.80x = 11,443.56 × 2,698.48
  4. Step 4: Simplify right side
    7,628.80x = 30,880,217.79
  5. Step 5: Solve for x
    x = 30,880,217.79/7,628.80
  6. Step 6: Final answer
    x = 4,047.85

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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.