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Finding the Fourth Proportional to 7,790.80, 11,692.14 and 5,716.30

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Solution

The fourth proportional to 7,790.80, 11,692.14 and 5,716.30 is: 8,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.80 : 11,692.14 = 5,716.30 : x
  2. Step 2: Convert to fraction form
    7,790.80/11,692.14 = 5,716.30/x
  3. Step 3: Cross multiply
    7,790.80x = 11,692.14 × 5,716.30
  4. Step 4: Simplify right side
    7,790.80x = 66,835,779.88
  5. Step 5: Solve for x
    x = 66,835,779.88/7,790.80
  6. Step 6: Final answer
    x = 8,578.81

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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.