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Finding the Fourth Proportional to 11,816.27, 17,746.27 and 7,923.41

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Solution

The fourth proportional to 11,816.27, 17,746.27 and 7,923.41 is: 11,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.27 : 17,746.27 = 7,923.41 : x
  2. Step 2: Convert to fraction form
    11,816.27/17,746.27 = 7,923.41/x
  3. Step 3: Cross multiply
    11,816.27x = 17,746.27 × 7,923.41
  4. Step 4: Simplify right side
    11,816.27x = 140,610,973.18
  5. Step 5: Solve for x
    x = 140,610,973.18/11,816.27
  6. Step 6: Final answer
    x = 11,899.78

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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.