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Finding the Fourth Proportional to 7,543.97, 10,409.78 and 4,185.98

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Solution

The fourth proportional to 7,543.97, 10,409.78 and 4,185.98 is: 5,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.97 : 10,409.78 = 4,185.98 : x
  2. Step 2: Convert to fraction form
    7,543.97/10,409.78 = 4,185.98/x
  3. Step 3: Cross multiply
    7,543.97x = 10,409.78 × 4,185.98
  4. Step 4: Simplify right side
    7,543.97x = 43,575,167.37
  5. Step 5: Solve for x
    x = 43,575,167.37/7,543.97
  6. Step 6: Final answer
    x = 5,776.16

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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.