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Finding the Fourth Proportional to 7,049.88, 10,555.14 and 5,413.08

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Solution

The fourth proportional to 7,049.88, 10,555.14 and 5,413.08 is: 8,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.88 : 10,555.14 = 5,413.08 : x
  2. Step 2: Convert to fraction form
    7,049.88/10,555.14 = 5,413.08/x
  3. Step 3: Cross multiply
    7,049.88x = 10,555.14 × 5,413.08
  4. Step 4: Simplify right side
    7,049.88x = 57,135,817.23
  5. Step 5: Solve for x
    x = 57,135,817.23/7,049.88
  6. Step 6: Final answer
    x = 8,104.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.