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Finding the Fourth Proportional to 11,622.31, 16,033.61 and 6,903.86

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Solution

The fourth proportional to 11,622.31, 16,033.61 and 6,903.86 is: 9,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.31 : 16,033.61 = 6,903.86 : x
  2. Step 2: Convert to fraction form
    11,622.31/16,033.61 = 6,903.86/x
  3. Step 3: Cross multiply
    11,622.31x = 16,033.61 × 6,903.86
  4. Step 4: Simplify right side
    11,622.31x = 110,693,735.83
  5. Step 5: Solve for x
    x = 110,693,735.83/11,622.31
  6. Step 6: Final answer
    x = 9,524.25

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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.