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Finding the Fourth Proportional to 8,684.33, 11,983.66 and 4,907.81

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Solution

The fourth proportional to 8,684.33, 11,983.66 and 4,907.81 is: 6,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.33 : 11,983.66 = 4,907.81 : x
  2. Step 2: Convert to fraction form
    8,684.33/11,983.66 = 4,907.81/x
  3. Step 3: Cross multiply
    8,684.33x = 11,983.66 × 4,907.81
  4. Step 4: Simplify right side
    8,684.33x = 58,813,544.07
  5. Step 5: Solve for x
    x = 58,813,544.07/8,684.33
  6. Step 6: Final answer
    x = 6,772.38

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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.