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Finding the Fourth Proportional to 10,428.89, 14,388.35 and 5,949.49

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Solution

The fourth proportional to 10,428.89, 14,388.35 and 5,949.49 is: 8,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.89 : 14,388.35 = 5,949.49 : x
  2. Step 2: Convert to fraction form
    10,428.89/14,388.35 = 5,949.49/x
  3. Step 3: Cross multiply
    10,428.89x = 14,388.35 × 5,949.49
  4. Step 4: Simplify right side
    10,428.89x = 85,603,344.44
  5. Step 5: Solve for x
    x = 85,603,344.44/10,428.89
  6. Step 6: Final answer
    x = 8,208.29

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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.