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Finding the Fourth Proportional to 8,085.71, 11,157.68 and 4,548.24

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Solution

The fourth proportional to 8,085.71, 11,157.68 and 4,548.24 is: 6,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.71 : 11,157.68 = 4,548.24 : x
  2. Step 2: Convert to fraction form
    8,085.71/11,157.68 = 4,548.24/x
  3. Step 3: Cross multiply
    8,085.71x = 11,157.68 × 4,548.24
  4. Step 4: Simplify right side
    8,085.71x = 50,747,817.85
  5. Step 5: Solve for x
    x = 50,747,817.85/8,085.71
  6. Step 6: Final answer
    x = 6,276.23

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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.