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Finding the Fourth Proportional to 7,413.84, 11,119.95 and 2,218.50

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Solution

The fourth proportional to 7,413.84, 11,119.95 and 2,218.50 is: 3,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.84 : 11,119.95 = 2,218.50 : x
  2. Step 2: Convert to fraction form
    7,413.84/11,119.95 = 2,218.50/x
  3. Step 3: Cross multiply
    7,413.84x = 11,119.95 × 2,218.50
  4. Step 4: Simplify right side
    7,413.84x = 24,669,609.08
  5. Step 5: Solve for x
    x = 24,669,609.08/7,413.84
  6. Step 6: Final answer
    x = 3,327.51

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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.