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Finding the Fourth Proportional to 10,125.44, 13,973.06 and 5,649.19

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Solution

The fourth proportional to 10,125.44, 13,973.06 and 5,649.19 is: 7,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.44 : 13,973.06 = 5,649.19 : x
  2. Step 2: Convert to fraction form
    10,125.44/13,973.06 = 5,649.19/x
  3. Step 3: Cross multiply
    10,125.44x = 13,973.06 × 5,649.19
  4. Step 4: Simplify right side
    10,125.44x = 78,936,456.70
  5. Step 5: Solve for x
    x = 78,936,456.70/10,125.44
  6. Step 6: Final answer
    x = 7,795.86

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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.