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Finding the Fourth Proportional to 8,416.27, 11,610.66 and 5,724.19

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Solution

The fourth proportional to 8,416.27, 11,610.66 and 5,724.19 is: 7,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.27 : 11,610.66 = 5,724.19 : x
  2. Step 2: Convert to fraction form
    8,416.27/11,610.66 = 5,724.19/x
  3. Step 3: Cross multiply
    8,416.27x = 11,610.66 × 5,724.19
  4. Step 4: Simplify right side
    8,416.27x = 66,461,623.87
  5. Step 5: Solve for x
    x = 66,461,623.87/8,416.27
  6. Step 6: Final answer
    x = 7,896.80

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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.