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Finding the Fourth Proportional to 7,797.82, 11,697.33 and 2,603.70

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Solution

The fourth proportional to 7,797.82, 11,697.33 and 2,603.70 is: 3,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.82 : 11,697.33 = 2,603.70 : x
  2. Step 2: Convert to fraction form
    7,797.82/11,697.33 = 2,603.70/x
  3. Step 3: Cross multiply
    7,797.82x = 11,697.33 × 2,603.70
  4. Step 4: Simplify right side
    7,797.82x = 30,456,266.62
  5. Step 5: Solve for x
    x = 30,456,266.62/7,797.82
  6. Step 6: Final answer
    x = 3,905.74

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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.