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Finding the Fourth Proportional to 11,158.89, 16,741.15 and 7,878.39

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Solution

The fourth proportional to 11,158.89, 16,741.15 and 7,878.39 is: 11,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.89 : 16,741.15 = 7,878.39 : x
  2. Step 2: Convert to fraction form
    11,158.89/16,741.15 = 7,878.39/x
  3. Step 3: Cross multiply
    11,158.89x = 16,741.15 × 7,878.39
  4. Step 4: Simplify right side
    11,158.89x = 131,893,289.05
  5. Step 5: Solve for x
    x = 131,893,289.05/11,158.89
  6. Step 6: Final answer
    x = 11,819.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.