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Finding the Fourth Proportional to 7,752.57, 10,679.73 and 5,759.67

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Solution

The fourth proportional to 7,752.57, 10,679.73 and 5,759.67 is: 7,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.57 : 10,679.73 = 5,759.67 : x
  2. Step 2: Convert to fraction form
    7,752.57/10,679.73 = 5,759.67/x
  3. Step 3: Cross multiply
    7,752.57x = 10,679.73 × 5,759.67
  4. Step 4: Simplify right side
    7,752.57x = 61,511,720.49
  5. Step 5: Solve for x
    x = 61,511,720.49/7,752.57
  6. Step 6: Final answer
    x = 7,934.37

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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.