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Finding the Fourth Proportional to 10,365.96, 14,304.92 and 5,650.14

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Solution

The fourth proportional to 10,365.96, 14,304.92 and 5,650.14 is: 7,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.96 : 14,304.92 = 5,650.14 : x
  2. Step 2: Convert to fraction form
    10,365.96/14,304.92 = 5,650.14/x
  3. Step 3: Cross multiply
    10,365.96x = 14,304.92 × 5,650.14
  4. Step 4: Simplify right side
    10,365.96x = 80,824,772.44
  5. Step 5: Solve for x
    x = 80,824,772.44/10,365.96
  6. Step 6: Final answer
    x = 7,797.13

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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.