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Finding the Fourth Proportional to 10,564.92, 15,846.84 and 2,773.44

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Solution

The fourth proportional to 10,564.92, 15,846.84 and 2,773.44 is: 4,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.92 : 15,846.84 = 2,773.44 : x
  2. Step 2: Convert to fraction form
    10,564.92/15,846.84 = 2,773.44/x
  3. Step 3: Cross multiply
    10,564.92x = 15,846.84 × 2,773.44
  4. Step 4: Simplify right side
    10,564.92x = 43,950,259.93
  5. Step 5: Solve for x
    x = 43,950,259.93/10,564.92
  6. Step 6: Final answer
    x = 4,160.02

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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.