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Finding the Fourth Proportional to 8,494, 11,721.76 and 4,768

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Solution

The fourth proportional to 8,494, 11,721.76 and 4,768 is: 6,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494 : 11,721.76 = 4,768 : x
  2. Step 2: Convert to fraction form
    8,494/11,721.76 = 4,768/x
  3. Step 3: Cross multiply
    8,494x = 11,721.76 × 4,768
  4. Step 4: Simplify right side
    8,494x = 55,889,351.68
  5. Step 5: Solve for x
    x = 55,889,351.68/8,494
  6. Step 6: Final answer
    x = 6,579.86

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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.