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Finding the Fourth Proportional to 11,782.77, 16,243.41 and 8,424.36

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Solution

The fourth proportional to 11,782.77, 16,243.41 and 8,424.36 is: 11,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.77 : 16,243.41 = 8,424.36 : x
  2. Step 2: Convert to fraction form
    11,782.77/16,243.41 = 8,424.36/x
  3. Step 3: Cross multiply
    11,782.77x = 16,243.41 × 8,424.36
  4. Step 4: Simplify right side
    11,782.77x = 136,840,333.47
  5. Step 5: Solve for x
    x = 136,840,333.47/11,782.77
  6. Step 6: Final answer
    x = 11,613.60

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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.