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Finding the Fourth Proportional to 8,116.38, 11,201.09 and 4,973.18

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Solution

The fourth proportional to 8,116.38, 11,201.09 and 4,973.18 is: 6,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.38 : 11,201.09 = 4,973.18 : x
  2. Step 2: Convert to fraction form
    8,116.38/11,201.09 = 4,973.18/x
  3. Step 3: Cross multiply
    8,116.38x = 11,201.09 × 4,973.18
  4. Step 4: Simplify right side
    8,116.38x = 55,704,955.89
  5. Step 5: Solve for x
    x = 55,704,955.89/8,116.38
  6. Step 6: Final answer
    x = 6,863.28

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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.