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Finding the Fourth Proportional to 7,841.64, 11,762.58 and 1,998.36

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Solution

The fourth proportional to 7,841.64, 11,762.58 and 1,998.36 is: 2,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.64 : 11,762.58 = 1,998.36 : x
  2. Step 2: Convert to fraction form
    7,841.64/11,762.58 = 1,998.36/x
  3. Step 3: Cross multiply
    7,841.64x = 11,762.58 × 1,998.36
  4. Step 4: Simplify right side
    7,841.64x = 23,505,869.37
  5. Step 5: Solve for x
    x = 23,505,869.37/7,841.64
  6. Step 6: Final answer
    x = 2,997.57

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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.