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Finding the Fourth Proportional to 8,651.32, 11,926.38 and 6,163

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Solution

The fourth proportional to 8,651.32, 11,926.38 and 6,163 is: 8,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.32 : 11,926.38 = 6,163 : x
  2. Step 2: Convert to fraction form
    8,651.32/11,926.38 = 6,163/x
  3. Step 3: Cross multiply
    8,651.32x = 11,926.38 × 6,163
  4. Step 4: Simplify right side
    8,651.32x = 73,502,279.94
  5. Step 5: Solve for x
    x = 73,502,279.94/8,651.32
  6. Step 6: Final answer
    x = 8,496.08

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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.