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Finding the Fourth Proportional to 8,268.71, 11,409.73 and 5,083.65

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Solution

The fourth proportional to 8,268.71, 11,409.73 and 5,083.65 is: 7,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.71 : 11,409.73 = 5,083.65 : x
  2. Step 2: Convert to fraction form
    8,268.71/11,409.73 = 5,083.65/x
  3. Step 3: Cross multiply
    8,268.71x = 11,409.73 × 5,083.65
  4. Step 4: Simplify right side
    8,268.71x = 58,003,061.21
  5. Step 5: Solve for x
    x = 58,003,061.21/8,268.71
  6. Step 6: Final answer
    x = 7,014.77

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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.