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Finding the Fourth Proportional to 7,290.75, 10,936.16 and 4,002.04

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Solution

The fourth proportional to 7,290.75, 10,936.16 and 4,002.04 is: 6,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.75 : 10,936.16 = 4,002.04 : x
  2. Step 2: Convert to fraction form
    7,290.75/10,936.16 = 4,002.04/x
  3. Step 3: Cross multiply
    7,290.75x = 10,936.16 × 4,002.04
  4. Step 4: Simplify right side
    7,290.75x = 43,766,949.77
  5. Step 5: Solve for x
    x = 43,766,949.77/7,290.75
  6. Step 6: Final answer
    x = 6,003.08

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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.