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Finding the Fourth Proportional to 8,138.75, 11,227.01 and 5,302.53

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Solution

The fourth proportional to 8,138.75, 11,227.01 and 5,302.53 is: 7,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.75 : 11,227.01 = 5,302.53 : x
  2. Step 2: Convert to fraction form
    8,138.75/11,227.01 = 5,302.53/x
  3. Step 3: Cross multiply
    8,138.75x = 11,227.01 × 5,302.53
  4. Step 4: Simplify right side
    8,138.75x = 59,531,530.82
  5. Step 5: Solve for x
    x = 59,531,530.82/8,138.75
  6. Step 6: Final answer
    x = 7,314.58

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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.