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Finding the Fourth Proportional to 7,112.49, 9,812.52 and 4,127.82

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Solution

The fourth proportional to 7,112.49, 9,812.52 and 4,127.82 is: 5,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.49 : 9,812.52 = 4,127.82 : x
  2. Step 2: Convert to fraction form
    7,112.49/9,812.52 = 4,127.82/x
  3. Step 3: Cross multiply
    7,112.49x = 9,812.52 × 4,127.82
  4. Step 4: Simplify right side
    7,112.49x = 40,504,316.31
  5. Step 5: Solve for x
    x = 40,504,316.31/7,112.49
  6. Step 6: Final answer
    x = 5,694.82

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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.