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Finding the Fourth Proportional to 10,944.72, 16,421.13 and 7,849.44

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Solution

The fourth proportional to 10,944.72, 16,421.13 and 7,849.44 is: 11,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.72 : 16,421.13 = 7,849.44 : x
  2. Step 2: Convert to fraction form
    10,944.72/16,421.13 = 7,849.44/x
  3. Step 3: Cross multiply
    10,944.72x = 16,421.13 × 7,849.44
  4. Step 4: Simplify right side
    10,944.72x = 128,896,674.67
  5. Step 5: Solve for x
    x = 128,896,674.67/10,944.72
  6. Step 6: Final answer
    x = 11,777.06

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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.