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Finding the Fourth Proportional to 7,412.94, 11,122.50 and 3,250.80

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Solution

The fourth proportional to 7,412.94, 11,122.50 and 3,250.80 is: 4,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.94 : 11,122.50 = 3,250.80 : x
  2. Step 2: Convert to fraction form
    7,412.94/11,122.50 = 3,250.80/x
  3. Step 3: Cross multiply
    7,412.94x = 11,122.50 × 3,250.80
  4. Step 4: Simplify right side
    7,412.94x = 36,157,023
  5. Step 5: Solve for x
    x = 36,157,023/7,412.94
  6. Step 6: Final answer
    x = 4,877.56

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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.