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Finding the Fourth Proportional to 8,270.64, 11,413.58 and 4,913.60

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Solution

The fourth proportional to 8,270.64, 11,413.58 and 4,913.60 is: 6,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.64 : 11,413.58 = 4,913.60 : x
  2. Step 2: Convert to fraction form
    8,270.64/11,413.58 = 4,913.60/x
  3. Step 3: Cross multiply
    8,270.64x = 11,413.58 × 4,913.60
  4. Step 4: Simplify right side
    8,270.64x = 56,081,685.05
  5. Step 5: Solve for x
    x = 56,081,685.05/8,270.64
  6. Step 6: Final answer
    x = 6,780.82

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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.