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Finding the Fourth Proportional to 10,092.54, 13,929.75 and 5,902.14

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Solution

The fourth proportional to 10,092.54, 13,929.75 and 5,902.14 is: 8,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.54 : 13,929.75 = 5,902.14 : x
  2. Step 2: Convert to fraction form
    10,092.54/13,929.75 = 5,902.14/x
  3. Step 3: Cross multiply
    10,092.54x = 13,929.75 × 5,902.14
  4. Step 4: Simplify right side
    10,092.54x = 82,215,334.67
  5. Step 5: Solve for x
    x = 82,215,334.67/10,092.54
  6. Step 6: Final answer
    x = 8,146.15

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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.