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Finding the Fourth Proportional to 11,671.40, 16,107.89 and 6,497.80

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Solution

The fourth proportional to 11,671.40, 16,107.89 and 6,497.80 is: 8,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.40 : 16,107.89 = 6,497.80 : x
  2. Step 2: Convert to fraction form
    11,671.40/16,107.89 = 6,497.80/x
  3. Step 3: Cross multiply
    11,671.40x = 16,107.89 × 6,497.80
  4. Step 4: Simplify right side
    11,671.40x = 104,665,774.88
  5. Step 5: Solve for x
    x = 104,665,774.88/11,671.40
  6. Step 6: Final answer
    x = 8,967.71

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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.