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Finding the Fourth Proportional to 10,801.38, 14,903.67 and 6,820.28

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Solution

The fourth proportional to 10,801.38, 14,903.67 and 6,820.28 is: 9,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.38 : 14,903.67 = 6,820.28 : x
  2. Step 2: Convert to fraction form
    10,801.38/14,903.67 = 6,820.28/x
  3. Step 3: Cross multiply
    10,801.38x = 14,903.67 × 6,820.28
  4. Step 4: Simplify right side
    10,801.38x = 101,647,202.43
  5. Step 5: Solve for x
    x = 101,647,202.43/10,801.38
  6. Step 6: Final answer
    x = 9,410.58

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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.