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Finding the Fourth Proportional to 11,448.68, 15,800.49 and 6,414.26

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Solution

The fourth proportional to 11,448.68, 15,800.49 and 6,414.26 is: 8,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.68 : 15,800.49 = 6,414.26 : x
  2. Step 2: Convert to fraction form
    11,448.68/15,800.49 = 6,414.26/x
  3. Step 3: Cross multiply
    11,448.68x = 15,800.49 × 6,414.26
  4. Step 4: Simplify right side
    11,448.68x = 101,348,450.99
  5. Step 5: Solve for x
    x = 101,348,450.99/11,448.68
  6. Step 6: Final answer
    x = 8,852.41

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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.