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Finding the Fourth Proportional to 10,076.16, 13,902.12 and 6,098.26

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Solution

The fourth proportional to 10,076.16, 13,902.12 and 6,098.26 is: 8,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.16 : 13,902.12 = 6,098.26 : x
  2. Step 2: Convert to fraction form
    10,076.16/13,902.12 = 6,098.26/x
  3. Step 3: Cross multiply
    10,076.16x = 13,902.12 × 6,098.26
  4. Step 4: Simplify right side
    10,076.16x = 84,778,742.31
  5. Step 5: Solve for x
    x = 84,778,742.31/10,076.16
  6. Step 6: Final answer
    x = 8,413.79

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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.