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Finding the Fourth Proportional to 11,744.92, 16,207.96 and 7,029.20

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Solution

The fourth proportional to 11,744.92, 16,207.96 and 7,029.20 is: 9,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.92 : 16,207.96 = 7,029.20 : x
  2. Step 2: Convert to fraction form
    11,744.92/16,207.96 = 7,029.20/x
  3. Step 3: Cross multiply
    11,744.92x = 16,207.96 × 7,029.20
  4. Step 4: Simplify right side
    11,744.92x = 113,928,992.43
  5. Step 5: Solve for x
    x = 113,928,992.43/11,744.92
  6. Step 6: Final answer
    x = 9,700.28

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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.