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Finding the Fourth Proportional to 7,757.19, 11,640.15 and 4,199.21

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Solution

The fourth proportional to 7,757.19, 11,640.15 and 4,199.21 is: 6,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.19 : 11,640.15 = 4,199.21 : x
  2. Step 2: Convert to fraction form
    7,757.19/11,640.15 = 4,199.21/x
  3. Step 3: Cross multiply
    7,757.19x = 11,640.15 × 4,199.21
  4. Step 4: Simplify right side
    7,757.19x = 48,879,413.29
  5. Step 5: Solve for x
    x = 48,879,413.29/7,757.19
  6. Step 6: Final answer
    x = 6,301.18

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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.