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Finding the Fourth Proportional to 10,469.05, 14,448.17 and 7,119.29

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Solution

The fourth proportional to 10,469.05, 14,448.17 and 7,119.29 is: 9,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.05 : 14,448.17 = 7,119.29 : x
  2. Step 2: Convert to fraction form
    10,469.05/14,448.17 = 7,119.29/x
  3. Step 3: Cross multiply
    10,469.05x = 14,448.17 × 7,119.29
  4. Step 4: Simplify right side
    10,469.05x = 102,860,766.12
  5. Step 5: Solve for x
    x = 102,860,766.12/10,469.05
  6. Step 6: Final answer
    x = 9,825.23

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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.