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Finding the Fourth Proportional to 11,838.46, 16,343.22 and 8,648.18

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Solution

The fourth proportional to 11,838.46, 16,343.22 and 8,648.18 is: 11,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.46 : 16,343.22 = 8,648.18 : x
  2. Step 2: Convert to fraction form
    11,838.46/16,343.22 = 8,648.18/x
  3. Step 3: Cross multiply
    11,838.46x = 16,343.22 × 8,648.18
  4. Step 4: Simplify right side
    11,838.46x = 141,339,089.10
  5. Step 5: Solve for x
    x = 141,339,089.10/11,838.46
  6. Step 6: Final answer
    x = 11,938.97

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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.