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Finding the Fourth Proportional to 8,147.71, 11,243.75 and 4,562.70

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Solution

The fourth proportional to 8,147.71, 11,243.75 and 4,562.70 is: 6,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.71 : 11,243.75 = 4,562.70 : x
  2. Step 2: Convert to fraction form
    8,147.71/11,243.75 = 4,562.70/x
  3. Step 3: Cross multiply
    8,147.71x = 11,243.75 × 4,562.70
  4. Step 4: Simplify right side
    8,147.71x = 51,301,793.15
  5. Step 5: Solve for x
    x = 51,301,793.15/8,147.71
  6. Step 6: Final answer
    x = 6,296.47

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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.