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Finding the Fourth Proportional to 8,267.40, 11,413.46 and 6,374.83

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Solution

The fourth proportional to 8,267.40, 11,413.46 and 6,374.83 is: 8,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.40 : 11,413.46 = 6,374.83 : x
  2. Step 2: Convert to fraction form
    8,267.40/11,413.46 = 6,374.83/x
  3. Step 3: Cross multiply
    8,267.40x = 11,413.46 × 6,374.83
  4. Step 4: Simplify right side
    8,267.40x = 72,758,867.21
  5. Step 5: Solve for x
    x = 72,758,867.21/8,267.40
  6. Step 6: Final answer
    x = 8,800.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.