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Finding the Fourth Proportional to 8,156, 11,256.24 and 4,844

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Solution

The fourth proportional to 8,156, 11,256.24 and 4,844 is: 6,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156 : 11,256.24 = 4,844 : x
  2. Step 2: Convert to fraction form
    8,156/11,256.24 = 4,844/x
  3. Step 3: Cross multiply
    8,156x = 11,256.24 × 4,844
  4. Step 4: Simplify right side
    8,156x = 54,525,226.56
  5. Step 5: Solve for x
    x = 54,525,226.56/8,156
  6. Step 6: Final answer
    x = 6,685.29

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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.