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Finding the Fourth Proportional to 7,379.64, 11,067.30 and 6,077.88

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Solution

The fourth proportional to 7,379.64, 11,067.30 and 6,077.88 is: 9,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,379.64 : 11,067.30 = 6,077.88 : x
  2. Step 2: Convert to fraction form
    7,379.64/11,067.30 = 6,077.88/x
  3. Step 3: Cross multiply
    7,379.64x = 11,067.30 × 6,077.88
  4. Step 4: Simplify right side
    7,379.64x = 67,265,721.32
  5. Step 5: Solve for x
    x = 67,265,721.32/7,379.64
  6. Step 6: Final answer
    x = 9,115.04

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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.