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Finding the Fourth Proportional to 7,575.74, 11,363.11 and 3,629.82

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Solution

The fourth proportional to 7,575.74, 11,363.11 and 3,629.82 is: 5,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.74 : 11,363.11 = 3,629.82 : x
  2. Step 2: Convert to fraction form
    7,575.74/11,363.11 = 3,629.82/x
  3. Step 3: Cross multiply
    7,575.74x = 11,363.11 × 3,629.82
  4. Step 4: Simplify right side
    7,575.74x = 41,246,043.94
  5. Step 5: Solve for x
    x = 41,246,043.94/7,575.74
  6. Step 6: Final answer
    x = 5,444.49

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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.