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Finding the Fourth Proportional to 5,112.65, 7,668.07 and 1,413.96

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Solution

The fourth proportional to 5,112.65, 7,668.07 and 1,413.96 is: 2,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.65 : 7,668.07 = 1,413.96 : x
  2. Step 2: Convert to fraction form
    5,112.65/7,668.07 = 1,413.96/x
  3. Step 3: Cross multiply
    5,112.65x = 7,668.07 × 1,413.96
  4. Step 4: Simplify right side
    5,112.65x = 10,842,311.97
  5. Step 5: Solve for x
    x = 10,842,311.97/5,112.65
  6. Step 6: Final answer
    x = 2,120.68

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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.