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Finding the Fourth Proportional to 10,304.96, 14,220.68 and 5,828.56

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Solution

The fourth proportional to 10,304.96, 14,220.68 and 5,828.56 is: 8,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.96 : 14,220.68 = 5,828.56 : x
  2. Step 2: Convert to fraction form
    10,304.96/14,220.68 = 5,828.56/x
  3. Step 3: Cross multiply
    10,304.96x = 14,220.68 × 5,828.56
  4. Step 4: Simplify right side
    10,304.96x = 82,886,086.62
  5. Step 5: Solve for x
    x = 82,886,086.62/10,304.96
  6. Step 6: Final answer
    x = 8,043.32

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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.