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Finding the Fourth Proportional to 8,159.76, 11,244.42 and 5,797.80

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Solution

The fourth proportional to 8,159.76, 11,244.42 and 5,797.80 is: 7,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.76 : 11,244.42 = 5,797.80 : x
  2. Step 2: Convert to fraction form
    8,159.76/11,244.42 = 5,797.80/x
  3. Step 3: Cross multiply
    8,159.76x = 11,244.42 × 5,797.80
  4. Step 4: Simplify right side
    8,159.76x = 65,192,898.28
  5. Step 5: Solve for x
    x = 65,192,898.28/8,159.76
  6. Step 6: Final answer
    x = 7,989.56

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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.