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Finding the Fourth Proportional to 8,142.68, 11,239.02 and 5,159.96

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Solution

The fourth proportional to 8,142.68, 11,239.02 and 5,159.96 is: 7,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.68 : 11,239.02 = 5,159.96 : x
  2. Step 2: Convert to fraction form
    8,142.68/11,239.02 = 5,159.96/x
  3. Step 3: Cross multiply
    8,142.68x = 11,239.02 × 5,159.96
  4. Step 4: Simplify right side
    8,142.68x = 57,992,893.64
  5. Step 5: Solve for x
    x = 57,992,893.64/8,142.68
  6. Step 6: Final answer
    x = 7,122.09

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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.