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Finding the Fourth Proportional to 7,752.30, 11,628.34 and 1,908.96

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Solution

The fourth proportional to 7,752.30, 11,628.34 and 1,908.96 is: 2,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.30 : 11,628.34 = 1,908.96 : x
  2. Step 2: Convert to fraction form
    7,752.30/11,628.34 = 1,908.96/x
  3. Step 3: Cross multiply
    7,752.30x = 11,628.34 × 1,908.96
  4. Step 4: Simplify right side
    7,752.30x = 22,198,035.93
  5. Step 5: Solve for x
    x = 22,198,035.93/7,752.30
  6. Step 6: Final answer
    x = 2,863.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.