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Finding the Fourth Proportional to 8,042, 11,098 and 5,247.50

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Solution

The fourth proportional to 8,042, 11,098 and 5,247.50 is: 7,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042 : 11,098 = 5,247.50 : x
  2. Step 2: Convert to fraction form
    8,042/11,098 = 5,247.50/x
  3. Step 3: Cross multiply
    8,042x = 11,098 × 5,247.50
  4. Step 4: Simplify right side
    8,042x = 58,236,755
  5. Step 5: Solve for x
    x = 58,236,755/8,042
  6. Step 6: Final answer
    x = 7,241.58

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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.