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Finding the Fourth Proportional to 8,145.96, 11,241.10 and 4,561.23

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Solution

The fourth proportional to 8,145.96, 11,241.10 and 4,561.23 is: 6,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.96 : 11,241.10 = 4,561.23 : x
  2. Step 2: Convert to fraction form
    8,145.96/11,241.10 = 4,561.23/x
  3. Step 3: Cross multiply
    8,145.96x = 11,241.10 × 4,561.23
  4. Step 4: Simplify right side
    8,145.96x = 51,273,242.55
  5. Step 5: Solve for x
    x = 51,273,242.55/8,145.96
  6. Step 6: Final answer
    x = 6,294.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.