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Finding the Fourth Proportional to 7,480.64, 11,221.42 and 3,098.44

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Solution

The fourth proportional to 7,480.64, 11,221.42 and 3,098.44 is: 4,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.64 : 11,221.42 = 3,098.44 : x
  2. Step 2: Convert to fraction form
    7,480.64/11,221.42 = 3,098.44/x
  3. Step 3: Cross multiply
    7,480.64x = 11,221.42 × 3,098.44
  4. Step 4: Simplify right side
    7,480.64x = 34,768,896.58
  5. Step 5: Solve for x
    x = 34,768,896.58/7,480.64
  6. Step 6: Final answer
    x = 4,647.85

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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.