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Finding the Fourth Proportional to 10,519.92, 14,517.54 and 5,804.19

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Solution

The fourth proportional to 10,519.92, 14,517.54 and 5,804.19 is: 8,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.92 : 14,517.54 = 5,804.19 : x
  2. Step 2: Convert to fraction form
    10,519.92/14,517.54 = 5,804.19/x
  3. Step 3: Cross multiply
    10,519.92x = 14,517.54 × 5,804.19
  4. Step 4: Simplify right side
    10,519.92x = 84,262,560.49
  5. Step 5: Solve for x
    x = 84,262,560.49/10,519.92
  6. Step 6: Final answer
    x = 8,009.81

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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.