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Finding the Fourth Proportional to 7,543.73, 10,409.44 and 4,185.74

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Solution

The fourth proportional to 7,543.73, 10,409.44 and 4,185.74 is: 5,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.73 : 10,409.44 = 4,185.74 : x
  2. Step 2: Convert to fraction form
    7,543.73/10,409.44 = 4,185.74/x
  3. Step 3: Cross multiply
    7,543.73x = 10,409.44 × 4,185.74
  4. Step 4: Simplify right side
    7,543.73x = 43,571,136.41
  5. Step 5: Solve for x
    x = 43,571,136.41/7,543.73
  6. Step 6: Final answer
    x = 5,775.81

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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.