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Finding the Fourth Proportional to 7,794.81, 11,692.32 and 2,600.69

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Solution

The fourth proportional to 7,794.81, 11,692.32 and 2,600.69 is: 3,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.81 : 11,692.32 = 2,600.69 : x
  2. Step 2: Convert to fraction form
    7,794.81/11,692.32 = 2,600.69/x
  3. Step 3: Cross multiply
    7,794.81x = 11,692.32 × 2,600.69
  4. Step 4: Simplify right side
    7,794.81x = 30,408,070.47
  5. Step 5: Solve for x
    x = 30,408,070.47/7,794.81
  6. Step 6: Final answer
    x = 3,901.07

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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.