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Finding the Fourth Proportional to 8,281.75, 11,428.78 and 4,647.80

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Solution

The fourth proportional to 8,281.75, 11,428.78 and 4,647.80 is: 6,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.75 : 11,428.78 = 4,647.80 : x
  2. Step 2: Convert to fraction form
    8,281.75/11,428.78 = 4,647.80/x
  3. Step 3: Cross multiply
    8,281.75x = 11,428.78 × 4,647.80
  4. Step 4: Simplify right side
    8,281.75x = 53,118,683.68
  5. Step 5: Solve for x
    x = 53,118,683.68/8,281.75
  6. Step 6: Final answer
    x = 6,413.94

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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.