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Finding the Fourth Proportional to 8,064.48, 11,105.94 and 7,260.96

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Solution

The fourth proportional to 8,064.48, 11,105.94 and 7,260.96 is: 9,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.48 : 11,105.94 = 7,260.96 : x
  2. Step 2: Convert to fraction form
    8,064.48/11,105.94 = 7,260.96/x
  3. Step 3: Cross multiply
    8,064.48x = 11,105.94 × 7,260.96
  4. Step 4: Simplify right side
    8,064.48x = 80,639,786.10
  5. Step 5: Solve for x
    x = 80,639,786.10/8,064.48
  6. Step 6: Final answer
    x = 9,999.38

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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.