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Finding the Fourth Proportional to 12,580.28, 17,360.62 and 7,274.98

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Solution

The fourth proportional to 12,580.28, 17,360.62 and 7,274.98 is: 10,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.28 : 17,360.62 = 7,274.98 : x
  2. Step 2: Convert to fraction form
    12,580.28/17,360.62 = 7,274.98/x
  3. Step 3: Cross multiply
    12,580.28x = 17,360.62 × 7,274.98
  4. Step 4: Simplify right side
    12,580.28x = 126,298,163.29
  5. Step 5: Solve for x
    x = 126,298,163.29/12,580.28
  6. Step 6: Final answer
    x = 10,039.38

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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.