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Finding the Fourth Proportional to 7,734.49, 11,606.49 and 3,351.98

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Solution

The fourth proportional to 7,734.49, 11,606.49 and 3,351.98 is: 5,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.49 : 11,606.49 = 3,351.98 : x
  2. Step 2: Convert to fraction form
    7,734.49/11,606.49 = 3,351.98/x
  3. Step 3: Cross multiply
    7,734.49x = 11,606.49 × 3,351.98
  4. Step 4: Simplify right side
    7,734.49x = 38,904,751.37
  5. Step 5: Solve for x
    x = 38,904,751.37/7,734.49
  6. Step 6: Final answer
    x = 5,030.04

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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.