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Finding the Fourth Proportional to 11,853.31, 16,360.83 and 7,374.39

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Solution

The fourth proportional to 11,853.31, 16,360.83 and 7,374.39 is: 10,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.31 : 16,360.83 = 7,374.39 : x
  2. Step 2: Convert to fraction form
    11,853.31/16,360.83 = 7,374.39/x
  3. Step 3: Cross multiply
    11,853.31x = 16,360.83 × 7,374.39
  4. Step 4: Simplify right side
    11,853.31x = 120,651,104.27
  5. Step 5: Solve for x
    x = 120,651,104.27/11,853.31
  6. Step 6: Final answer
    x = 10,178.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.