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Finding the Fourth Proportional to 7,361, 11,030.77 and 3,413.47

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Solution

The fourth proportional to 7,361, 11,030.77 and 3,413.47 is: 5,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361 : 11,030.77 = 3,413.47 : x
  2. Step 2: Convert to fraction form
    7,361/11,030.77 = 3,413.47/x
  3. Step 3: Cross multiply
    7,361x = 11,030.77 × 3,413.47
  4. Step 4: Simplify right side
    7,361x = 37,653,202.47
  5. Step 5: Solve for x
    x = 37,653,202.47/7,361
  6. Step 6: Final answer
    x = 5,115.23

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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.