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Finding the Fourth Proportional to 7,984, 11,015.49 and 5,002.80

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Solution

The fourth proportional to 7,984, 11,015.49 and 5,002.80 is: 6,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 11,015.49 = 5,002.80 : x
  2. Step 2: Convert to fraction form
    7,984/11,015.49 = 5,002.80/x
  3. Step 3: Cross multiply
    7,984x = 11,015.49 × 5,002.80
  4. Step 4: Simplify right side
    7,984x = 55,108,293.37
  5. Step 5: Solve for x
    x = 55,108,293.37/7,984
  6. Step 6: Final answer
    x = 6,902.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.