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Finding the Fourth Proportional to 8,304.72, 11,461.77 and 5,161.92

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Solution

The fourth proportional to 8,304.72, 11,461.77 and 5,161.92 is: 7,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.72 : 11,461.77 = 5,161.92 : x
  2. Step 2: Convert to fraction form
    8,304.72/11,461.77 = 5,161.92/x
  3. Step 3: Cross multiply
    8,304.72x = 11,461.77 × 5,161.92
  4. Step 4: Simplify right side
    8,304.72x = 59,164,739.80
  5. Step 5: Solve for x
    x = 59,164,739.80/8,304.72
  6. Step 6: Final answer
    x = 7,124.23

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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.