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Finding the Fourth Proportional to 11,511.40, 15,885.12 and 6,793.96

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Solution

The fourth proportional to 11,511.40, 15,885.12 and 6,793.96 is: 9,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.40 : 15,885.12 = 6,793.96 : x
  2. Step 2: Convert to fraction form
    11,511.40/15,885.12 = 6,793.96/x
  3. Step 3: Cross multiply
    11,511.40x = 15,885.12 × 6,793.96
  4. Step 4: Simplify right side
    11,511.40x = 107,922,869.88
  5. Step 5: Solve for x
    x = 107,922,869.88/11,511.40
  6. Step 6: Final answer
    x = 9,375.30

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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.