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Finding the Fourth Proportional to 11,744.72, 16,206 and 7,028

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Solution

The fourth proportional to 11,744.72, 16,206 and 7,028 is: 9,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.72 : 16,206 = 7,028 : x
  2. Step 2: Convert to fraction form
    11,744.72/16,206 = 7,028/x
  3. Step 3: Cross multiply
    11,744.72x = 16,206 × 7,028
  4. Step 4: Simplify right side
    11,744.72x = 113,895,768
  5. Step 5: Solve for x
    x = 113,895,768/11,744.72
  6. Step 6: Final answer
    x = 9,697.61

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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.