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Finding the Fourth Proportional to 7,987.46, 11,020.77 and 6,002.78

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Solution

The fourth proportional to 7,987.46, 11,020.77 and 6,002.78 is: 8,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.46 : 11,020.77 = 6,002.78 : x
  2. Step 2: Convert to fraction form
    7,987.46/11,020.77 = 6,002.78/x
  3. Step 3: Cross multiply
    7,987.46x = 11,020.77 × 6,002.78
  4. Step 4: Simplify right side
    7,987.46x = 66,155,202.64
  5. Step 5: Solve for x
    x = 66,155,202.64/7,987.46
  6. Step 6: Final answer
    x = 8,282.39

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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.