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Finding the Fourth Proportional to 11,855.14, 16,359.26 and 6,549.92

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Solution

The fourth proportional to 11,855.14, 16,359.26 and 6,549.92 is: 9,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.14 : 16,359.26 = 6,549.92 : x
  2. Step 2: Convert to fraction form
    11,855.14/16,359.26 = 6,549.92/x
  3. Step 3: Cross multiply
    11,855.14x = 16,359.26 × 6,549.92
  4. Step 4: Simplify right side
    11,855.14x = 107,151,844.26
  5. Step 5: Solve for x
    x = 107,151,844.26/11,855.14
  6. Step 6: Final answer
    x = 9,038.43

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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.