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Finding the Fourth Proportional to 6,735.25, 10,104.01 and 3,037.40

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Solution

The fourth proportional to 6,735.25, 10,104.01 and 3,037.40 is: 4,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.25 : 10,104.01 = 3,037.40 : x
  2. Step 2: Convert to fraction form
    6,735.25/10,104.01 = 3,037.40/x
  3. Step 3: Cross multiply
    6,735.25x = 10,104.01 × 3,037.40
  4. Step 4: Simplify right side
    6,735.25x = 30,689,899.75
  5. Step 5: Solve for x
    x = 30,689,899.75/6,735.25
  6. Step 6: Final answer
    x = 4,556.61

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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.