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Finding the Fourth Proportional to 8,305.98, 11,455.75 and 5,322.09

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Solution

The fourth proportional to 8,305.98, 11,455.75 and 5,322.09 is: 7,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.98 : 11,455.75 = 5,322.09 : x
  2. Step 2: Convert to fraction form
    8,305.98/11,455.75 = 5,322.09/x
  3. Step 3: Cross multiply
    8,305.98x = 11,455.75 × 5,322.09
  4. Step 4: Simplify right side
    8,305.98x = 60,968,532.52
  5. Step 5: Solve for x
    x = 60,968,532.52/8,305.98
  6. Step 6: Final answer
    x = 7,340.32

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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.