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Finding the Fourth Proportional to 7,638.12, 11,455.02 and 3,944.52

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Solution

The fourth proportional to 7,638.12, 11,455.02 and 3,944.52 is: 5,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.12 : 11,455.02 = 3,944.52 : x
  2. Step 2: Convert to fraction form
    7,638.12/11,455.02 = 3,944.52/x
  3. Step 3: Cross multiply
    7,638.12x = 11,455.02 × 3,944.52
  4. Step 4: Simplify right side
    7,638.12x = 45,184,555.49
  5. Step 5: Solve for x
    x = 45,184,555.49/7,638.12
  6. Step 6: Final answer
    x = 5,915.66

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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.