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Finding the Fourth Proportional to 10,029.88, 13,825.26 and 7,902.04

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Solution

The fourth proportional to 10,029.88, 13,825.26 and 7,902.04 is: 10,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.88 : 13,825.26 = 7,902.04 : x
  2. Step 2: Convert to fraction form
    10,029.88/13,825.26 = 7,902.04/x
  3. Step 3: Cross multiply
    10,029.88x = 13,825.26 × 7,902.04
  4. Step 4: Simplify right side
    10,029.88x = 109,247,757.53
  5. Step 5: Solve for x
    x = 109,247,757.53/10,029.88
  6. Step 6: Final answer
    x = 10,892.23

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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.