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Finding the Fourth Proportional to 8,071.56, 11,142.76 and 5,092

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Solution

The fourth proportional to 8,071.56, 11,142.76 and 5,092 is: 7,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.56 : 11,142.76 = 5,092 : x
  2. Step 2: Convert to fraction form
    8,071.56/11,142.76 = 5,092/x
  3. Step 3: Cross multiply
    8,071.56x = 11,142.76 × 5,092
  4. Step 4: Simplify right side
    8,071.56x = 56,738,933.92
  5. Step 5: Solve for x
    x = 56,738,933.92/8,071.56
  6. Step 6: Final answer
    x = 7,029.49

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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.