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Finding the Fourth Proportional to 7,690, 11,535 and 2,759.94

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Solution

The fourth proportional to 7,690, 11,535 and 2,759.94 is: 4,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690 : 11,535 = 2,759.94 : x
  2. Step 2: Convert to fraction form
    7,690/11,535 = 2,759.94/x
  3. Step 3: Cross multiply
    7,690x = 11,535 × 2,759.94
  4. Step 4: Simplify right side
    7,690x = 31,835,907.90
  5. Step 5: Solve for x
    x = 31,835,907.90/7,690
  6. Step 6: Final answer
    x = 4,139.91

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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.