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Finding the Fourth Proportional to 12,877.08, 17,770.42 and 7,287.96

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Solution

The fourth proportional to 12,877.08, 17,770.42 and 7,287.96 is: 10,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.08 : 17,770.42 = 7,287.96 : x
  2. Step 2: Convert to fraction form
    12,877.08/17,770.42 = 7,287.96/x
  3. Step 3: Cross multiply
    12,877.08x = 17,770.42 × 7,287.96
  4. Step 4: Simplify right side
    12,877.08x = 129,510,110.14
  5. Step 5: Solve for x
    x = 129,510,110.14/12,877.08
  6. Step 6: Final answer
    x = 10,057.41

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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.