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Finding the Fourth Proportional to 8,270.46, 11,407.50 and 5,287.14

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Solution

The fourth proportional to 8,270.46, 11,407.50 and 5,287.14 is: 7,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.46 : 11,407.50 = 5,287.14 : x
  2. Step 2: Convert to fraction form
    8,270.46/11,407.50 = 5,287.14/x
  3. Step 3: Cross multiply
    8,270.46x = 11,407.50 × 5,287.14
  4. Step 4: Simplify right side
    8,270.46x = 60,313,049.55
  5. Step 5: Solve for x
    x = 60,313,049.55/8,270.46
  6. Step 6: Final answer
    x = 7,292.59

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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.