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Finding the Fourth Proportional to 10,723.26, 14,796 and 6,006.63

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Solution

The fourth proportional to 10,723.26, 14,796 and 6,006.63 is: 8,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.26 : 14,796 = 6,006.63 : x
  2. Step 2: Convert to fraction form
    10,723.26/14,796 = 6,006.63/x
  3. Step 3: Cross multiply
    10,723.26x = 14,796 × 6,006.63
  4. Step 4: Simplify right side
    10,723.26x = 88,874,097.48
  5. Step 5: Solve for x
    x = 88,874,097.48/10,723.26
  6. Step 6: Final answer
    x = 8,287.97

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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.