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Finding the Fourth Proportional to 10,504.70, 14,496.30 and 5,724.69

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Solution

The fourth proportional to 10,504.70, 14,496.30 and 5,724.69 is: 7,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.70 : 14,496.30 = 5,724.69 : x
  2. Step 2: Convert to fraction form
    10,504.70/14,496.30 = 5,724.69/x
  3. Step 3: Cross multiply
    10,504.70x = 14,496.30 × 5,724.69
  4. Step 4: Simplify right side
    10,504.70x = 82,986,769.29
  5. Step 5: Solve for x
    x = 82,986,769.29/10,504.70
  6. Step 6: Final answer
    x = 7,899.97

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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.