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Finding the Fourth Proportional to 11,855.12, 16,360.91 and 6,549.82

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Solution

The fourth proportional to 11,855.12, 16,360.91 and 6,549.82 is: 9,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.12 : 16,360.91 = 6,549.82 : x
  2. Step 2: Convert to fraction form
    11,855.12/16,360.91 = 6,549.82/x
  3. Step 3: Cross multiply
    11,855.12x = 16,360.91 × 6,549.82
  4. Step 4: Simplify right side
    11,855.12x = 107,160,991.01
  5. Step 5: Solve for x
    x = 107,160,991.01/11,855.12
  6. Step 6: Final answer
    x = 9,039.22

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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.