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Finding the Fourth Proportional to 12,877.36, 17,770.60 and 7,288.40

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Solution

The fourth proportional to 12,877.36, 17,770.60 and 7,288.40 is: 10,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.36 : 17,770.60 = 7,288.40 : x
  2. Step 2: Convert to fraction form
    12,877.36/17,770.60 = 7,288.40/x
  3. Step 3: Cross multiply
    12,877.36x = 17,770.60 × 7,288.40
  4. Step 4: Simplify right side
    12,877.36x = 129,519,241.04
  5. Step 5: Solve for x
    x = 129,519,241.04/12,877.36
  6. Step 6: Final answer
    x = 10,057.90

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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.