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Finding the Fourth Proportional to 10,410.54, 14,371.28 and 6,638.85

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Solution

The fourth proportional to 10,410.54, 14,371.28 and 6,638.85 is: 9,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.54 : 14,371.28 = 6,638.85 : x
  2. Step 2: Convert to fraction form
    10,410.54/14,371.28 = 6,638.85/x
  3. Step 3: Cross multiply
    10,410.54x = 14,371.28 × 6,638.85
  4. Step 4: Simplify right side
    10,410.54x = 95,408,739.03
  5. Step 5: Solve for x
    x = 95,408,739.03/10,410.54
  6. Step 6: Final answer
    x = 9,164.63

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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.