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Finding the Fourth Proportional to 10,777.72, 16,147.86 and 7,492.96

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Solution

The fourth proportional to 10,777.72, 16,147.86 and 7,492.96 is: 11,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.72 : 16,147.86 = 7,492.96 : x
  2. Step 2: Convert to fraction form
    10,777.72/16,147.86 = 7,492.96/x
  3. Step 3: Cross multiply
    10,777.72x = 16,147.86 × 7,492.96
  4. Step 4: Simplify right side
    10,777.72x = 120,995,269.07
  5. Step 5: Solve for x
    x = 120,995,269.07/10,777.72
  6. Step 6: Final answer
    x = 11,226.43

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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.