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Finding the Fourth Proportional to 7,427.49, 10,250.22 and 4,241.30

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Solution

The fourth proportional to 7,427.49, 10,250.22 and 4,241.30 is: 5,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.49 : 10,250.22 = 4,241.30 : x
  2. Step 2: Convert to fraction form
    7,427.49/10,250.22 = 4,241.30/x
  3. Step 3: Cross multiply
    7,427.49x = 10,250.22 × 4,241.30
  4. Step 4: Simplify right side
    7,427.49x = 43,474,267.81
  5. Step 5: Solve for x
    x = 43,474,267.81/7,427.49
  6. Step 6: Final answer
    x = 5,853.16

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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.