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Finding the Fourth Proportional to 28,188.50, 42,279.38 and 7,413.62

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Solution

The fourth proportional to 28,188.50, 42,279.38 and 7,413.62 is: 11,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,188.50 : 42,279.38 = 7,413.62 : x
  2. Step 2: Convert to fraction form
    28,188.50/42,279.38 = 7,413.62/x
  3. Step 3: Cross multiply
    28,188.50x = 42,279.38 × 7,413.62
  4. Step 4: Simplify right side
    28,188.50x = 313,443,064.29
  5. Step 5: Solve for x
    x = 313,443,064.29/28,188.50
  6. Step 6: Final answer
    x = 11,119.54

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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.