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Finding the Fourth Proportional to 8,413.99, 12,622.49 and 2,792.00

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Solution

The fourth proportional to 8,413.99, 12,622.49 and 2,792.00 is: 4,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.99 : 12,622.49 = 2,792.00 : x
  2. Step 2: Convert to fraction form
    8,413.99/12,622.49 = 2,792.00/x
  3. Step 3: Cross multiply
    8,413.99x = 12,622.49 × 2,792.00
  4. Step 4: Simplify right side
    8,413.99x = 35,242,001.25
  5. Step 5: Solve for x
    x = 35,242,001.25/8,413.99
  6. Step 6: Final answer
    x = 4,188.50

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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.