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Finding the Fourth Proportional to 4,763.08, 7,125.96 and 4,209.04

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Solution

The fourth proportional to 4,763.08, 7,125.96 and 4,209.04 is: 6,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.08 : 7,125.96 = 4,209.04 : x
  2. Step 2: Convert to fraction form
    4,763.08/7,125.96 = 4,209.04/x
  3. Step 3: Cross multiply
    4,763.08x = 7,125.96 × 4,209.04
  4. Step 4: Simplify right side
    4,763.08x = 29,993,450.68
  5. Step 5: Solve for x
    x = 29,993,450.68/4,763.08
  6. Step 6: Final answer
    x = 6,297.07

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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.