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Finding the Fourth Proportional to 10,519.74, 14,517.33 and 5,804.34

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Solution

The fourth proportional to 10,519.74, 14,517.33 and 5,804.34 is: 8,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.74 : 14,517.33 = 5,804.34 : x
  2. Step 2: Convert to fraction form
    10,519.74/14,517.33 = 5,804.34/x
  3. Step 3: Cross multiply
    10,519.74x = 14,517.33 × 5,804.34
  4. Step 4: Simplify right side
    10,519.74x = 84,263,519.21
  5. Step 5: Solve for x
    x = 84,263,519.21/10,519.74
  6. Step 6: Final answer
    x = 8,010.04

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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.