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Finding the Fourth Proportional to 10,365.44, 14,304.31 and 5,649.72

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Solution

The fourth proportional to 10,365.44, 14,304.31 and 5,649.72 is: 7,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.44 : 14,304.31 = 5,649.72 : x
  2. Step 2: Convert to fraction form
    10,365.44/14,304.31 = 5,649.72/x
  3. Step 3: Cross multiply
    10,365.44x = 14,304.31 × 5,649.72
  4. Step 4: Simplify right side
    10,365.44x = 80,815,346.29
  5. Step 5: Solve for x
    x = 80,815,346.29/10,365.44
  6. Step 6: Final answer
    x = 7,796.62

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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.