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Finding the Fourth Proportional to 8,237.94, 11,367.21 and 4,652.31

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Solution

The fourth proportional to 8,237.94, 11,367.21 and 4,652.31 is: 6,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.94 : 11,367.21 = 4,652.31 : x
  2. Step 2: Convert to fraction form
    8,237.94/11,367.21 = 4,652.31/x
  3. Step 3: Cross multiply
    8,237.94x = 11,367.21 × 4,652.31
  4. Step 4: Simplify right side
    8,237.94x = 52,883,784.76
  5. Step 5: Solve for x
    x = 52,883,784.76/8,237.94
  6. Step 6: Final answer
    x = 6,419.54

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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.