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Finding the Fourth Proportional to 7,544.97, 10,411.16 and 4,186.98

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Solution

The fourth proportional to 7,544.97, 10,411.16 and 4,186.98 is: 5,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.97 : 10,411.16 = 4,186.98 : x
  2. Step 2: Convert to fraction form
    7,544.97/10,411.16 = 4,186.98/x
  3. Step 3: Cross multiply
    7,544.97x = 10,411.16 × 4,186.98
  4. Step 4: Simplify right side
    7,544.97x = 43,591,318.70
  5. Step 5: Solve for x
    x = 43,591,318.70/7,544.97
  6. Step 6: Final answer
    x = 5,777.53

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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.