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Finding the Fourth Proportional to 10,365.68, 14,304.61 and 5,649.96

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Solution

The fourth proportional to 10,365.68, 14,304.61 and 5,649.96 is: 7,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.68 : 14,304.61 = 5,649.96 : x
  2. Step 2: Convert to fraction form
    10,365.68/14,304.61 = 5,649.96/x
  3. Step 3: Cross multiply
    10,365.68x = 14,304.61 × 5,649.96
  4. Step 4: Simplify right side
    10,365.68x = 80,820,535.02
  5. Step 5: Solve for x
    x = 80,820,535.02/10,365.68
  6. Step 6: Final answer
    x = 7,796.93

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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.