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Finding the Fourth Proportional to 8,629.38, 11,893.23 and 7,431.30

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Solution

The fourth proportional to 8,629.38, 11,893.23 and 7,431.30 is: 10,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.38 : 11,893.23 = 7,431.30 : x
  2. Step 2: Convert to fraction form
    8,629.38/11,893.23 = 7,431.30/x
  3. Step 3: Cross multiply
    8,629.38x = 11,893.23 × 7,431.30
  4. Step 4: Simplify right side
    8,629.38x = 88,382,160.10
  5. Step 5: Solve for x
    x = 88,382,160.10/8,629.38
  6. Step 6: Final answer
    x = 10,242.01

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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.