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Finding the Fourth Proportional to 7,159.54, 10,724.61 and 3,450.82

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Solution

The fourth proportional to 7,159.54, 10,724.61 and 3,450.82 is: 5,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.54 : 10,724.61 = 3,450.82 : x
  2. Step 2: Convert to fraction form
    7,159.54/10,724.61 = 3,450.82/x
  3. Step 3: Cross multiply
    7,159.54x = 10,724.61 × 3,450.82
  4. Step 4: Simplify right side
    7,159.54x = 37,008,698.68
  5. Step 5: Solve for x
    x = 37,008,698.68/7,159.54
  6. Step 6: Final answer
    x = 5,169.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.