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Finding the Fourth Proportional to 10,270.80, 14,153.00 and 7,433.24

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Solution

The fourth proportional to 10,270.80, 14,153.00 and 7,433.24 is: 10,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.80 : 14,153.00 = 7,433.24 : x
  2. Step 2: Convert to fraction form
    10,270.80/14,153.00 = 7,433.24/x
  3. Step 3: Cross multiply
    10,270.80x = 14,153.00 × 7,433.24
  4. Step 4: Simplify right side
    10,270.80x = 105,202,537.79
  5. Step 5: Solve for x
    x = 105,202,537.79/10,270.80
  6. Step 6: Final answer
    x = 10,242.88

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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.