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Finding the Fourth Proportional to 8,643.91, 11,926.69 and 5,105.29

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Solution

The fourth proportional to 8,643.91, 11,926.69 and 5,105.29 is: 7,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.91 : 11,926.69 = 5,105.29 : x
  2. Step 2: Convert to fraction form
    8,643.91/11,926.69 = 5,105.29/x
  3. Step 3: Cross multiply
    8,643.91x = 11,926.69 × 5,105.29
  4. Step 4: Simplify right side
    8,643.91x = 60,889,211.19
  5. Step 5: Solve for x
    x = 60,889,211.19/8,643.91
  6. Step 6: Final answer
    x = 7,044.17

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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.