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Finding the Fourth Proportional to 10,605.24, 15,908.64 and 2,814

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Solution

The fourth proportional to 10,605.24, 15,908.64 and 2,814 is: 4,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.24 : 15,908.64 = 2,814 : x
  2. Step 2: Convert to fraction form
    10,605.24/15,908.64 = 2,814/x
  3. Step 3: Cross multiply
    10,605.24x = 15,908.64 × 2,814
  4. Step 4: Simplify right side
    10,605.24x = 44,766,912.96
  5. Step 5: Solve for x
    x = 44,766,912.96/10,605.24
  6. Step 6: Final answer
    x = 4,221.21

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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.