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Finding the Fourth Proportional to 7,835.65, 10,812.31 and 4,647.79

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Solution

The fourth proportional to 7,835.65, 10,812.31 and 4,647.79 is: 6,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.65 : 10,812.31 = 4,647.79 : x
  2. Step 2: Convert to fraction form
    7,835.65/10,812.31 = 4,647.79/x
  3. Step 3: Cross multiply
    7,835.65x = 10,812.31 × 4,647.79
  4. Step 4: Simplify right side
    7,835.65x = 50,253,323.06
  5. Step 5: Solve for x
    x = 50,253,323.06/7,835.65
  6. Step 6: Final answer
    x = 6,413.43

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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.