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Finding the Fourth Proportional to 8,270.28, 12,405.42 and 3,887.64

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Solution

The fourth proportional to 8,270.28, 12,405.42 and 3,887.64 is: 5,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.28 : 12,405.42 = 3,887.64 : x
  2. Step 2: Convert to fraction form
    8,270.28/12,405.42 = 3,887.64/x
  3. Step 3: Cross multiply
    8,270.28x = 12,405.42 × 3,887.64
  4. Step 4: Simplify right side
    8,270.28x = 48,227,807.01
  5. Step 5: Solve for x
    x = 48,227,807.01/8,270.28
  6. Step 6: Final answer
    x = 5,831.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.