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Finding the Fourth Proportional to 8,675.16, 11,971.79 and 4,696.31

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Solution

The fourth proportional to 8,675.16, 11,971.79 and 4,696.31 is: 6,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.16 : 11,971.79 = 4,696.31 : x
  2. Step 2: Convert to fraction form
    8,675.16/11,971.79 = 4,696.31/x
  3. Step 3: Cross multiply
    8,675.16x = 11,971.79 × 4,696.31
  4. Step 4: Simplify right side
    8,675.16x = 56,223,183.68
  5. Step 5: Solve for x
    x = 56,223,183.68/8,675.16
  6. Step 6: Final answer
    x = 6,480.94

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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.