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Finding the Fourth Proportional to 8,571.69, 11,825.46 and 5,586.48

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Solution

The fourth proportional to 8,571.69, 11,825.46 and 5,586.48 is: 7,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.69 : 11,825.46 = 5,586.48 : x
  2. Step 2: Convert to fraction form
    8,571.69/11,825.46 = 5,586.48/x
  3. Step 3: Cross multiply
    8,571.69x = 11,825.46 × 5,586.48
  4. Step 4: Simplify right side
    8,571.69x = 66,062,695.78
  5. Step 5: Solve for x
    x = 66,062,695.78/8,571.69
  6. Step 6: Final answer
    x = 7,707.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.