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Finding the Fourth Proportional to 11,909.96, 16,435.50 and 6,604.74

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Solution

The fourth proportional to 11,909.96, 16,435.50 and 6,604.74 is: 9,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.96 : 16,435.50 = 6,604.74 : x
  2. Step 2: Convert to fraction form
    11,909.96/16,435.50 = 6,604.74/x
  3. Step 3: Cross multiply
    11,909.96x = 16,435.50 × 6,604.74
  4. Step 4: Simplify right side
    11,909.96x = 108,552,204.27
  5. Step 5: Solve for x
    x = 108,552,204.27/11,909.96
  6. Step 6: Final answer
    x = 9,114.41

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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.