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Finding the Fourth Proportional to 8,623.56, 11,891.50 and 6,074

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Solution

The fourth proportional to 8,623.56, 11,891.50 and 6,074 is: 8,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.56 : 11,891.50 = 6,074 : x
  2. Step 2: Convert to fraction form
    8,623.56/11,891.50 = 6,074/x
  3. Step 3: Cross multiply
    8,623.56x = 11,891.50 × 6,074
  4. Step 4: Simplify right side
    8,623.56x = 72,228,971
  5. Step 5: Solve for x
    x = 72,228,971/8,623.56
  6. Step 6: Final answer
    x = 8,375.77

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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.