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Finding the Fourth Proportional to 10,804.26, 14,908.75 and 6,023.62

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Solution

The fourth proportional to 10,804.26, 14,908.75 and 6,023.62 is: 8,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.26 : 14,908.75 = 6,023.62 : x
  2. Step 2: Convert to fraction form
    10,804.26/14,908.75 = 6,023.62/x
  3. Step 3: Cross multiply
    10,804.26x = 14,908.75 × 6,023.62
  4. Step 4: Simplify right side
    10,804.26x = 89,804,644.68
  5. Step 5: Solve for x
    x = 89,804,644.68/10,804.26
  6. Step 6: Final answer
    x = 8,311.97

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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.