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Finding the Fourth Proportional to 7,759.82, 10,704.02 and 5,632.88

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Solution

The fourth proportional to 7,759.82, 10,704.02 and 5,632.88 is: 7,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.82 : 10,704.02 = 5,632.88 : x
  2. Step 2: Convert to fraction form
    7,759.82/10,704.02 = 5,632.88/x
  3. Step 3: Cross multiply
    7,759.82x = 10,704.02 × 5,632.88
  4. Step 4: Simplify right side
    7,759.82x = 60,294,378.49
  5. Step 5: Solve for x
    x = 60,294,378.49/7,759.82
  6. Step 6: Final answer
    x = 7,770.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.