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Finding the Fourth Proportional to 10,519.74, 14,517.21 and 5,804.03

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Solution

The fourth proportional to 10,519.74, 14,517.21 and 5,804.03 is: 8,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.74 : 14,517.21 = 5,804.03 : x
  2. Step 2: Convert to fraction form
    10,519.74/14,517.21 = 5,804.03/x
  3. Step 3: Cross multiply
    10,519.74x = 14,517.21 × 5,804.03
  4. Step 4: Simplify right side
    10,519.74x = 84,258,249.77
  5. Step 5: Solve for x
    x = 84,258,249.77/10,519.74
  6. Step 6: Final answer
    x = 8,009.54

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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.