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Finding the Fourth Proportional to 7,198.93, 10,787.80 and 3,496.93

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Solution

The fourth proportional to 7,198.93, 10,787.80 and 3,496.93 is: 5,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.93 : 10,787.80 = 3,496.93 : x
  2. Step 2: Convert to fraction form
    7,198.93/10,787.80 = 3,496.93/x
  3. Step 3: Cross multiply
    7,198.93x = 10,787.80 × 3,496.93
  4. Step 4: Simplify right side
    7,198.93x = 37,724,181.45
  5. Step 5: Solve for x
    x = 37,724,181.45/7,198.93
  6. Step 6: Final answer
    x = 5,240.25

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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.