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Finding the Fourth Proportional to 7,735.79, 10,675.39 and 4,199.00

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Solution

The fourth proportional to 7,735.79, 10,675.39 and 4,199.00 is: 5,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.79 : 10,675.39 = 4,199.00 : x
  2. Step 2: Convert to fraction form
    7,735.79/10,675.39 = 4,199.00/x
  3. Step 3: Cross multiply
    7,735.79x = 10,675.39 × 4,199.00
  4. Step 4: Simplify right side
    7,735.79x = 44,825,909.23
  5. Step 5: Solve for x
    x = 44,825,909.23/7,735.79
  6. Step 6: Final answer
    x = 5,794.62

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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.