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Finding the Fourth Proportional to 11,853.01, 16,356.54 and 6,546.80

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Solution

The fourth proportional to 11,853.01, 16,356.54 and 6,546.80 is: 9,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.01 : 16,356.54 = 6,546.80 : x
  2. Step 2: Convert to fraction form
    11,853.01/16,356.54 = 6,546.80/x
  3. Step 3: Cross multiply
    11,853.01x = 16,356.54 × 6,546.80
  4. Step 4: Simplify right side
    11,853.01x = 107,082,930.66
  5. Step 5: Solve for x
    x = 107,082,930.66/11,853.01
  6. Step 6: Final answer
    x = 9,034.24

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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.