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Finding the Fourth Proportional to 10,770.88, 14,864.88 and 7,241.44

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Solution

The fourth proportional to 10,770.88, 14,864.88 and 7,241.44 is: 9,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.88 : 14,864.88 = 7,241.44 : x
  2. Step 2: Convert to fraction form
    10,770.88/14,864.88 = 7,241.44/x
  3. Step 3: Cross multiply
    10,770.88x = 14,864.88 × 7,241.44
  4. Step 4: Simplify right side
    10,770.88x = 107,643,136.63
  5. Step 5: Solve for x
    x = 107,643,136.63/10,770.88
  6. Step 6: Final answer
    x = 9,993.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.