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Finding the Fourth Proportional to 10,519.73, 14,517.28 and 5,804.01

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Solution

The fourth proportional to 10,519.73, 14,517.28 and 5,804.01 is: 8,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.73 : 14,517.28 = 5,804.01 : x
  2. Step 2: Convert to fraction form
    10,519.73/14,517.28 = 5,804.01/x
  3. Step 3: Cross multiply
    10,519.73x = 14,517.28 × 5,804.01
  4. Step 4: Simplify right side
    10,519.73x = 84,258,438.29
  5. Step 5: Solve for x
    x = 84,258,438.29/10,519.73
  6. Step 6: Final answer
    x = 8,009.56

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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.