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Finding the Fourth Proportional to 8,002.09, 11,042.19 and 5,169.60

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Solution

The fourth proportional to 8,002.09, 11,042.19 and 5,169.60 is: 7,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.09 : 11,042.19 = 5,169.60 : x
  2. Step 2: Convert to fraction form
    8,002.09/11,042.19 = 5,169.60/x
  3. Step 3: Cross multiply
    8,002.09x = 11,042.19 × 5,169.60
  4. Step 4: Simplify right side
    8,002.09x = 57,083,705.42
  5. Step 5: Solve for x
    x = 57,083,705.42/8,002.09
  6. Step 6: Final answer
    x = 7,133.60

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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.