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Finding the Fourth Proportional to 7,808.40, 11,709.36 and 2,613.60

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Solution

The fourth proportional to 7,808.40, 11,709.36 and 2,613.60 is: 3,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.40 : 11,709.36 = 2,613.60 : x
  2. Step 2: Convert to fraction form
    7,808.40/11,709.36 = 2,613.60/x
  3. Step 3: Cross multiply
    7,808.40x = 11,709.36 × 2,613.60
  4. Step 4: Simplify right side
    7,808.40x = 30,603,583.30
  5. Step 5: Solve for x
    x = 30,603,583.30/7,808.40
  6. Step 6: Final answer
    x = 3,919.32

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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.