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Finding the Fourth Proportional to 10,369.81, 14,310.27 and 5,654.29

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Solution

The fourth proportional to 10,369.81, 14,310.27 and 5,654.29 is: 7,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.81 : 14,310.27 = 5,654.29 : x
  2. Step 2: Convert to fraction form
    10,369.81/14,310.27 = 5,654.29/x
  3. Step 3: Cross multiply
    10,369.81x = 14,310.27 × 5,654.29
  4. Step 4: Simplify right side
    10,369.81x = 80,914,388.29
  5. Step 5: Solve for x
    x = 80,914,388.29/10,369.81
  6. Step 6: Final answer
    x = 7,802.88

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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.