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Finding the Fourth Proportional to 7,735.83, 10,675.42 and 4,199.04

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Solution

The fourth proportional to 7,735.83, 10,675.42 and 4,199.04 is: 5,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.83 : 10,675.42 = 4,199.04 : x
  2. Step 2: Convert to fraction form
    7,735.83/10,675.42 = 4,199.04/x
  3. Step 3: Cross multiply
    7,735.83x = 10,675.42 × 4,199.04
  4. Step 4: Simplify right side
    7,735.83x = 44,826,516.91
  5. Step 5: Solve for x
    x = 44,826,516.91/7,735.83
  6. Step 6: Final answer
    x = 5,794.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.