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Finding the Fourth Proportional to 10,270.40, 14,200.80 and 8,958.20

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Solution

The fourth proportional to 10,270.40, 14,200.80 and 8,958.20 is: 12,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.40 : 14,200.80 = 8,958.20 : x
  2. Step 2: Convert to fraction form
    10,270.40/14,200.80 = 8,958.20/x
  3. Step 3: Cross multiply
    10,270.40x = 14,200.80 × 8,958.20
  4. Step 4: Simplify right side
    10,270.40x = 127,213,606.56
  5. Step 5: Solve for x
    x = 127,213,606.56/10,270.40
  6. Step 6: Final answer
    x = 12,386.43

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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.