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Finding the Fourth Proportional to 7,945.04, 11,014.38 and 7,523.73

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Solution

The fourth proportional to 7,945.04, 11,014.38 and 7,523.73 is: 10,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.04 : 11,014.38 = 7,523.73 : x
  2. Step 2: Convert to fraction form
    7,945.04/11,014.38 = 7,523.73/x
  3. Step 3: Cross multiply
    7,945.04x = 11,014.38 × 7,523.73
  4. Step 4: Simplify right side
    7,945.04x = 82,869,262.54
  5. Step 5: Solve for x
    x = 82,869,262.54/7,945.04
  6. Step 6: Final answer
    x = 10,430.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.