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Finding the Fourth Proportional to 11,805.23, 16,290.95 and 6,772.41

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Solution

The fourth proportional to 11,805.23, 16,290.95 and 6,772.41 is: 9,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.23 : 16,290.95 = 6,772.41 : x
  2. Step 2: Convert to fraction form
    11,805.23/16,290.95 = 6,772.41/x
  3. Step 3: Cross multiply
    11,805.23x = 16,290.95 × 6,772.41
  4. Step 4: Simplify right side
    11,805.23x = 110,328,958.83
  5. Step 5: Solve for x
    x = 110,328,958.83/11,805.23
  6. Step 6: Final answer
    x = 9,345.77

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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.