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Finding the Fourth Proportional to 10,365.35, 14,304.35 and 5,649.63

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Solution

The fourth proportional to 10,365.35, 14,304.35 and 5,649.63 is: 7,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.35 : 14,304.35 = 5,649.63 : x
  2. Step 2: Convert to fraction form
    10,365.35/14,304.35 = 5,649.63/x
  3. Step 3: Cross multiply
    10,365.35x = 14,304.35 × 5,649.63
  4. Step 4: Simplify right side
    10,365.35x = 80,814,256.64
  5. Step 5: Solve for x
    x = 80,814,256.64/10,365.35
  6. Step 6: Final answer
    x = 7,796.58

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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.