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Finding the Fourth Proportional to 8,606.25, 11,878.07 and 4,882.41

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Solution

The fourth proportional to 8,606.25, 11,878.07 and 4,882.41 is: 6,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.25 : 11,878.07 = 4,882.41 : x
  2. Step 2: Convert to fraction form
    8,606.25/11,878.07 = 4,882.41/x
  3. Step 3: Cross multiply
    8,606.25x = 11,878.07 × 4,882.41
  4. Step 4: Simplify right side
    8,606.25x = 57,993,583.34
  5. Step 5: Solve for x
    x = 57,993,583.34/8,606.25
  6. Step 6: Final answer
    x = 6,738.54

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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.