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Finding the Fourth Proportional to 11,909.70, 16,434.23 and 6,604.40

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Solution

The fourth proportional to 11,909.70, 16,434.23 and 6,604.40 is: 9,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.70 : 16,434.23 = 6,604.40 : x
  2. Step 2: Convert to fraction form
    11,909.70/16,434.23 = 6,604.40/x
  3. Step 3: Cross multiply
    11,909.70x = 16,434.23 × 6,604.40
  4. Step 4: Simplify right side
    11,909.70x = 108,538,236.68
  5. Step 5: Solve for x
    x = 108,538,236.68/11,909.70
  6. Step 6: Final answer
    x = 9,113.43

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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.