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Finding the Fourth Proportional to 7,308.66, 10,967.86 and 3,413.38

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Solution

The fourth proportional to 7,308.66, 10,967.86 and 3,413.38 is: 5,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.66 : 10,967.86 = 3,413.38 : x
  2. Step 2: Convert to fraction form
    7,308.66/10,967.86 = 3,413.38/x
  3. Step 3: Cross multiply
    7,308.66x = 10,967.86 × 3,413.38
  4. Step 4: Simplify right side
    7,308.66x = 37,437,473.97
  5. Step 5: Solve for x
    x = 37,437,473.97/7,308.66
  6. Step 6: Final answer
    x = 5,122.34

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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.