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Finding the Fourth Proportional to 10,773.76, 16,160.64 and 2,982.64

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Solution

The fourth proportional to 10,773.76, 16,160.64 and 2,982.64 is: 4,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.76 : 16,160.64 = 2,982.64 : x
  2. Step 2: Convert to fraction form
    10,773.76/16,160.64 = 2,982.64/x
  3. Step 3: Cross multiply
    10,773.76x = 16,160.64 × 2,982.64
  4. Step 4: Simplify right side
    10,773.76x = 48,201,371.29
  5. Step 5: Solve for x
    x = 48,201,371.29/10,773.76
  6. Step 6: Final answer
    x = 4,473.96

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Why These Related Problems?

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