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Finding the Fourth Proportional to 11,732.40, 16,191 and 6,427.23

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Solution

The fourth proportional to 11,732.40, 16,191 and 6,427.23 is: 8,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.40 : 16,191 = 6,427.23 : x
  2. Step 2: Convert to fraction form
    11,732.40/16,191 = 6,427.23/x
  3. Step 3: Cross multiply
    11,732.40x = 16,191 × 6,427.23
  4. Step 4: Simplify right side
    11,732.40x = 104,063,280.93
  5. Step 5: Solve for x
    x = 104,063,280.93/11,732.40
  6. Step 6: Final answer
    x = 8,869.74

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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.