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Finding the Fourth Proportional to 8,629.38, 11,911.72 and 7,578.34

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Solution

The fourth proportional to 8,629.38, 11,911.72 and 7,578.34 is: 10,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.38 : 11,911.72 = 7,578.34 : x
  2. Step 2: Convert to fraction form
    8,629.38/11,911.72 = 7,578.34/x
  3. Step 3: Cross multiply
    8,629.38x = 11,911.72 × 7,578.34
  4. Step 4: Simplify right side
    8,629.38x = 90,271,010.00
  5. Step 5: Solve for x
    x = 90,271,010.00/8,629.38
  6. Step 6: Final answer
    x = 10,460.89

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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.