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Finding the Fourth Proportional to 11,853.40, 16,357.84 and 6,548.22

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Solution

The fourth proportional to 11,853.40, 16,357.84 and 6,548.22 is: 9,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.40 : 16,357.84 = 6,548.22 : x
  2. Step 2: Convert to fraction form
    11,853.40/16,357.84 = 6,548.22/x
  3. Step 3: Cross multiply
    11,853.40x = 16,357.84 × 6,548.22
  4. Step 4: Simplify right side
    11,853.40x = 107,114,735.04
  5. Step 5: Solve for x
    x = 107,114,735.04/11,853.40
  6. Step 6: Final answer
    x = 9,036.63

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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.