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Finding the Fourth Proportional to 11,770.30, 16,241.98 and 6,989.88

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Solution

The fourth proportional to 11,770.30, 16,241.98 and 6,989.88 is: 9,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.30 : 16,241.98 = 6,989.88 : x
  2. Step 2: Convert to fraction form
    11,770.30/16,241.98 = 6,989.88/x
  3. Step 3: Cross multiply
    11,770.30x = 16,241.98 × 6,989.88
  4. Step 4: Simplify right side
    11,770.30x = 113,529,491.16
  5. Step 5: Solve for x
    x = 113,529,491.16/11,770.30
  6. Step 6: Final answer
    x = 9,645.42

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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.