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Finding the Fourth Proportional to 8,185.38, 11,289.54 and 5,532.30

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Solution

The fourth proportional to 8,185.38, 11,289.54 and 5,532.30 is: 7,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.38 : 11,289.54 = 5,532.30 : x
  2. Step 2: Convert to fraction form
    8,185.38/11,289.54 = 5,532.30/x
  3. Step 3: Cross multiply
    8,185.38x = 11,289.54 × 5,532.30
  4. Step 4: Simplify right side
    8,185.38x = 62,457,122.14
  5. Step 5: Solve for x
    x = 62,457,122.14/8,185.38
  6. Step 6: Final answer
    x = 7,630.33

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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.