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Finding the Fourth Proportional to 11,765.25, 17,649.52 and 3,445.87

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Solution

The fourth proportional to 11,765.25, 17,649.52 and 3,445.87 is: 5,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.25 : 17,649.52 = 3,445.87 : x
  2. Step 2: Convert to fraction form
    11,765.25/17,649.52 = 3,445.87/x
  3. Step 3: Cross multiply
    11,765.25x = 17,649.52 × 3,445.87
  4. Step 4: Simplify right side
    11,765.25x = 60,817,891.89
  5. Step 5: Solve for x
    x = 60,817,891.89/11,765.25
  6. Step 6: Final answer
    x = 5,169.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.