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Finding the Fourth Proportional to 7,638.21, 11,447.25 and 3,690.68

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Solution

The fourth proportional to 7,638.21, 11,447.25 and 3,690.68 is: 5,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.21 : 11,447.25 = 3,690.68 : x
  2. Step 2: Convert to fraction form
    7,638.21/11,447.25 = 3,690.68/x
  3. Step 3: Cross multiply
    7,638.21x = 11,447.25 × 3,690.68
  4. Step 4: Simplify right side
    7,638.21x = 42,248,079.39
  5. Step 5: Solve for x
    x = 42,248,079.39/7,638.21
  6. Step 6: Final answer
    x = 5,531.15

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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.