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Finding the Fourth Proportional to 11,853.37, 16,357.65 and 6,548.19

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Solution

The fourth proportional to 11,853.37, 16,357.65 and 6,548.19 is: 9,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.37 : 16,357.65 = 6,548.19 : x
  2. Step 2: Convert to fraction form
    11,853.37/16,357.65 = 6,548.19/x
  3. Step 3: Cross multiply
    11,853.37x = 16,357.65 × 6,548.19
  4. Step 4: Simplify right side
    11,853.37x = 107,112,923.47
  5. Step 5: Solve for x
    x = 107,112,923.47/11,853.37
  6. Step 6: Final answer
    x = 9,036.50

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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.