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Finding the Fourth Proportional to 11,835.88, 16,338.19 and 7,119.26

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Solution

The fourth proportional to 11,835.88, 16,338.19 and 7,119.26 is: 9,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.88 : 16,338.19 = 7,119.26 : x
  2. Step 2: Convert to fraction form
    11,835.88/16,338.19 = 7,119.26/x
  3. Step 3: Cross multiply
    11,835.88x = 16,338.19 × 7,119.26
  4. Step 4: Simplify right side
    11,835.88x = 116,315,822.54
  5. Step 5: Solve for x
    x = 116,315,822.54/11,835.88
  6. Step 6: Final answer
    x = 9,827.39

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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.