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Finding the Fourth Proportional to 6,517.86, 9,763.57 and 5,203.83

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Solution

The fourth proportional to 6,517.86, 9,763.57 and 5,203.83 is: 7,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.86 : 9,763.57 = 5,203.83 : x
  2. Step 2: Convert to fraction form
    6,517.86/9,763.57 = 5,203.83/x
  3. Step 3: Cross multiply
    6,517.86x = 9,763.57 × 5,203.83
  4. Step 4: Simplify right side
    6,517.86x = 50,807,958.47
  5. Step 5: Solve for x
    x = 50,807,958.47/6,517.86
  6. Step 6: Final answer
    x = 7,795.19

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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.