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Finding the Fourth Proportional to 10,273.41, 15,412.02 and 3,255.20

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Solution

The fourth proportional to 10,273.41, 15,412.02 and 3,255.20 is: 4,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.41 : 15,412.02 = 3,255.20 : x
  2. Step 2: Convert to fraction form
    10,273.41/15,412.02 = 3,255.20/x
  3. Step 3: Cross multiply
    10,273.41x = 15,412.02 × 3,255.20
  4. Step 4: Simplify right side
    10,273.41x = 50,169,207.50
  5. Step 5: Solve for x
    x = 50,169,207.50/10,273.41
  6. Step 6: Final answer
    x = 4,883.40

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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.