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Finding the Fourth Proportional to 11,728.12, 16,184.98 and 6,423.42

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Solution

The fourth proportional to 11,728.12, 16,184.98 and 6,423.42 is: 8,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.12 : 16,184.98 = 6,423.42 : x
  2. Step 2: Convert to fraction form
    11,728.12/16,184.98 = 6,423.42/x
  3. Step 3: Cross multiply
    11,728.12x = 16,184.98 × 6,423.42
  4. Step 4: Simplify right side
    11,728.12x = 103,962,924.23
  5. Step 5: Solve for x
    x = 103,962,924.23/11,728.12
  6. Step 6: Final answer
    x = 8,864.42

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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.