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Finding the Fourth Proportional to 11,661.36, 16,092.69 and 6,356.10

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Solution

The fourth proportional to 11,661.36, 16,092.69 and 6,356.10 is: 8,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.36 : 16,092.69 = 6,356.10 : x
  2. Step 2: Convert to fraction form
    11,661.36/16,092.69 = 6,356.10/x
  3. Step 3: Cross multiply
    11,661.36x = 16,092.69 × 6,356.10
  4. Step 4: Simplify right side
    11,661.36x = 102,286,746.91
  5. Step 5: Solve for x
    x = 102,286,746.91/11,661.36
  6. Step 6: Final answer
    x = 8,771.43

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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.