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Finding the Fourth Proportional to 10,304.44, 14,219.94 and 5,828.02

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Solution

The fourth proportional to 10,304.44, 14,219.94 and 5,828.02 is: 8,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.44 : 14,219.94 = 5,828.02 : x
  2. Step 2: Convert to fraction form
    10,304.44/14,219.94 = 5,828.02/x
  3. Step 3: Cross multiply
    10,304.44x = 14,219.94 × 5,828.02
  4. Step 4: Simplify right side
    10,304.44x = 82,874,094.72
  5. Step 5: Solve for x
    x = 82,874,094.72/10,304.44
  6. Step 6: Final answer
    x = 8,042.56

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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.