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Finding the Fourth Proportional to 11,711.78, 16,157.72 and 7,462.08

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Solution

The fourth proportional to 11,711.78, 16,157.72 and 7,462.08 is: 10,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.78 : 16,157.72 = 7,462.08 : x
  2. Step 2: Convert to fraction form
    11,711.78/16,157.72 = 7,462.08/x
  3. Step 3: Cross multiply
    11,711.78x = 16,157.72 × 7,462.08
  4. Step 4: Simplify right side
    11,711.78x = 120,570,161.95
  5. Step 5: Solve for x
    x = 120,570,161.95/11,711.78
  6. Step 6: Final answer
    x = 10,294.78

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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.