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Finding the Fourth Proportional to 8,413.86, 12,607.82 and 4,026.90

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Solution

The fourth proportional to 8,413.86, 12,607.82 and 4,026.90 is: 6,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.86 : 12,607.82 = 4,026.90 : x
  2. Step 2: Convert to fraction form
    8,413.86/12,607.82 = 4,026.90/x
  3. Step 3: Cross multiply
    8,413.86x = 12,607.82 × 4,026.90
  4. Step 4: Simplify right side
    8,413.86x = 50,770,430.36
  5. Step 5: Solve for x
    x = 50,770,430.36/8,413.86
  6. Step 6: Final answer
    x = 6,034.14

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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.