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Finding the Fourth Proportional to 8,072.84, 11,142.96 and 5,683.88

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Solution

The fourth proportional to 8,072.84, 11,142.96 and 5,683.88 is: 7,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.84 : 11,142.96 = 5,683.88 : x
  2. Step 2: Convert to fraction form
    8,072.84/11,142.96 = 5,683.88/x
  3. Step 3: Cross multiply
    8,072.84x = 11,142.96 × 5,683.88
  4. Step 4: Simplify right side
    8,072.84x = 63,335,247.48
  5. Step 5: Solve for x
    x = 63,335,247.48/8,072.84
  6. Step 6: Final answer
    x = 7,845.47

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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.