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Finding the Fourth Proportional to 8,142.91, 11,232.97 and 5,153.60

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Solution

The fourth proportional to 8,142.91, 11,232.97 and 5,153.60 is: 7,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.91 : 11,232.97 = 5,153.60 : x
  2. Step 2: Convert to fraction form
    8,142.91/11,232.97 = 5,153.60/x
  3. Step 3: Cross multiply
    8,142.91x = 11,232.97 × 5,153.60
  4. Step 4: Simplify right side
    8,142.91x = 57,890,234.19
  5. Step 5: Solve for x
    x = 57,890,234.19/8,142.91
  6. Step 6: Final answer
    x = 7,109.28

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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.