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Finding the Fourth Proportional to 11,729.40, 16,186.75 and 6,424.12

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Solution

The fourth proportional to 11,729.40, 16,186.75 and 6,424.12 is: 8,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.40 : 16,186.75 = 6,424.12 : x
  2. Step 2: Convert to fraction form
    11,729.40/16,186.75 = 6,424.12/x
  3. Step 3: Cross multiply
    11,729.40x = 16,186.75 × 6,424.12
  4. Step 4: Simplify right side
    11,729.40x = 103,985,624.41
  5. Step 5: Solve for x
    x = 103,985,624.41/11,729.40
  6. Step 6: Final answer
    x = 8,865.38

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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.