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Finding the Fourth Proportional to 8,642.26, 11,926.47 and 5,105.46

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Solution

The fourth proportional to 8,642.26, 11,926.47 and 5,105.46 is: 7,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.26 : 11,926.47 = 5,105.46 : x
  2. Step 2: Convert to fraction form
    8,642.26/11,926.47 = 5,105.46/x
  3. Step 3: Cross multiply
    8,642.26x = 11,926.47 × 5,105.46
  4. Step 4: Simplify right side
    8,642.26x = 60,890,179.40
  5. Step 5: Solve for x
    x = 60,890,179.40/8,642.26
  6. Step 6: Final answer
    x = 7,045.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.