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Finding the Fourth Proportional to 11,672.25, 16,105.41 and 6,635.60

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Solution

The fourth proportional to 11,672.25, 16,105.41 and 6,635.60 is: 9,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.25 : 16,105.41 = 6,635.60 : x
  2. Step 2: Convert to fraction form
    11,672.25/16,105.41 = 6,635.60/x
  3. Step 3: Cross multiply
    11,672.25x = 16,105.41 × 6,635.60
  4. Step 4: Simplify right side
    11,672.25x = 106,869,038.46
  5. Step 5: Solve for x
    x = 106,869,038.46/11,672.25
  6. Step 6: Final answer
    x = 9,155.82

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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.