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Finding the Fourth Proportional to 11,906.90, 16,432.70 and 6,602.74

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Solution

The fourth proportional to 11,906.90, 16,432.70 and 6,602.74 is: 9,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.90 : 16,432.70 = 6,602.74 : x
  2. Step 2: Convert to fraction form
    11,906.90/16,432.70 = 6,602.74/x
  3. Step 3: Cross multiply
    11,906.90x = 16,432.70 × 6,602.74
  4. Step 4: Simplify right side
    11,906.90x = 108,500,845.60
  5. Step 5: Solve for x
    x = 108,500,845.60/11,906.90
  6. Step 6: Final answer
    x = 9,112.43

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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.