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Finding the Fourth Proportional to 10,241.66, 14,129.95 and 6,209.80

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Solution

The fourth proportional to 10,241.66, 14,129.95 and 6,209.80 is: 8,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.66 : 14,129.95 = 6,209.80 : x
  2. Step 2: Convert to fraction form
    10,241.66/14,129.95 = 6,209.80/x
  3. Step 3: Cross multiply
    10,241.66x = 14,129.95 × 6,209.80
  4. Step 4: Simplify right side
    10,241.66x = 87,744,163.51
  5. Step 5: Solve for x
    x = 87,744,163.51/10,241.66
  6. Step 6: Final answer
    x = 8,567.38

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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.