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Finding the Fourth Proportional to 7,840.81, 11,761.14 and 1,997.33

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Solution

The fourth proportional to 7,840.81, 11,761.14 and 1,997.33 is: 2,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.81 : 11,761.14 = 1,997.33 : x
  2. Step 2: Convert to fraction form
    7,840.81/11,761.14 = 1,997.33/x
  3. Step 3: Cross multiply
    7,840.81x = 11,761.14 × 1,997.33
  4. Step 4: Simplify right side
    7,840.81x = 23,490,877.76
  5. Step 5: Solve for x
    x = 23,490,877.76/7,840.81
  6. Step 6: Final answer
    x = 2,995.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.