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Finding the Fourth Proportional to 7,914.28, 11,877.22 and 3,534.60

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Solution

The fourth proportional to 7,914.28, 11,877.22 and 3,534.60 is: 5,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.28 : 11,877.22 = 3,534.60 : x
  2. Step 2: Convert to fraction form
    7,914.28/11,877.22 = 3,534.60/x
  3. Step 3: Cross multiply
    7,914.28x = 11,877.22 × 3,534.60
  4. Step 4: Simplify right side
    7,914.28x = 41,981,221.81
  5. Step 5: Solve for x
    x = 41,981,221.81/7,914.28
  6. Step 6: Final answer
    x = 5,304.49

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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.