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Finding the Fourth Proportional to 7,997.71, 11,040.37 and 5,166.46

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Solution

The fourth proportional to 7,997.71, 11,040.37 and 5,166.46 is: 7,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.71 : 11,040.37 = 5,166.46 : x
  2. Step 2: Convert to fraction form
    7,997.71/11,040.37 = 5,166.46/x
  3. Step 3: Cross multiply
    7,997.71x = 11,040.37 × 5,166.46
  4. Step 4: Simplify right side
    7,997.71x = 57,039,639.24
  5. Step 5: Solve for x
    x = 57,039,639.24/7,997.71
  6. Step 6: Final answer
    x = 7,132.00

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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.