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Finding the Fourth Proportional to 8,156.77, 11,256.78 and 5,171.52

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Solution

The fourth proportional to 8,156.77, 11,256.78 and 5,171.52 is: 7,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.77 : 11,256.78 = 5,171.52 : x
  2. Step 2: Convert to fraction form
    8,156.77/11,256.78 = 5,171.52/x
  3. Step 3: Cross multiply
    8,156.77x = 11,256.78 × 5,171.52
  4. Step 4: Simplify right side
    8,156.77x = 58,214,662.91
  5. Step 5: Solve for x
    x = 58,214,662.91/8,156.77
  6. Step 6: Final answer
    x = 7,136.97

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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.