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Finding the Fourth Proportional to 11,827.88, 16,329.04 and 8,638

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Solution

The fourth proportional to 11,827.88, 16,329.04 and 8,638 is: 11,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.88 : 16,329.04 = 8,638 : x
  2. Step 2: Convert to fraction form
    11,827.88/16,329.04 = 8,638/x
  3. Step 3: Cross multiply
    11,827.88x = 16,329.04 × 8,638
  4. Step 4: Simplify right side
    11,827.88x = 141,050,247.52
  5. Step 5: Solve for x
    x = 141,050,247.52/11,827.88
  6. Step 6: Final answer
    x = 11,925.23

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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.