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Finding the Fourth Proportional to 10,078.84, 13,905.48 and 6,098.44

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Solution

The fourth proportional to 10,078.84, 13,905.48 and 6,098.44 is: 8,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.84 : 13,905.48 = 6,098.44 : x
  2. Step 2: Convert to fraction form
    10,078.84/13,905.48 = 6,098.44/x
  3. Step 3: Cross multiply
    10,078.84x = 13,905.48 × 6,098.44
  4. Step 4: Simplify right side
    10,078.84x = 84,801,735.45
  5. Step 5: Solve for x
    x = 84,801,735.45/10,078.84
  6. Step 6: Final answer
    x = 8,413.84

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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.