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Finding the Fourth Proportional to 11,909.97, 16,435.17 and 6,605.28

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Solution

The fourth proportional to 11,909.97, 16,435.17 and 6,605.28 is: 9,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.97 : 16,435.17 = 6,605.28 : x
  2. Step 2: Convert to fraction form
    11,909.97/16,435.17 = 6,605.28/x
  3. Step 3: Cross multiply
    11,909.97x = 16,435.17 × 6,605.28
  4. Step 4: Simplify right side
    11,909.97x = 108,558,899.70
  5. Step 5: Solve for x
    x = 108,558,899.70/11,909.97
  6. Step 6: Final answer
    x = 9,114.96

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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.