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Finding the Fourth Proportional to 8,411.09, 11,523.24 and 8,095.79

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Solution

The fourth proportional to 8,411.09, 11,523.24 and 8,095.79 is: 11,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.09 : 11,523.24 = 8,095.79 : x
  2. Step 2: Convert to fraction form
    8,411.09/11,523.24 = 8,095.79/x
  3. Step 3: Cross multiply
    8,411.09x = 11,523.24 × 8,095.79
  4. Step 4: Simplify right side
    8,411.09x = 93,289,731.16
  5. Step 5: Solve for x
    x = 93,289,731.16/8,411.09
  6. Step 6: Final answer
    x = 11,091.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.