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Finding the Fourth Proportional to 10,770.64, 16,144.44 and 4,918.48

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Solution

The fourth proportional to 10,770.64, 16,144.44 and 4,918.48 is: 7,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.64 : 16,144.44 = 4,918.48 : x
  2. Step 2: Convert to fraction form
    10,770.64/16,144.44 = 4,918.48/x
  3. Step 3: Cross multiply
    10,770.64x = 16,144.44 × 4,918.48
  4. Step 4: Simplify right side
    10,770.64x = 79,406,105.25
  5. Step 5: Solve for x
    x = 79,406,105.25/10,770.64
  6. Step 6: Final answer
    x = 7,372.46

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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.