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Finding the Fourth Proportional to 10,504.73, 14,496.89 and 5,725.07

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Solution

The fourth proportional to 10,504.73, 14,496.89 and 5,725.07 is: 7,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.73 : 14,496.89 = 5,725.07 : x
  2. Step 2: Convert to fraction form
    10,504.73/14,496.89 = 5,725.07/x
  3. Step 3: Cross multiply
    10,504.73x = 14,496.89 × 5,725.07
  4. Step 4: Simplify right side
    10,504.73x = 82,995,736.26
  5. Step 5: Solve for x
    x = 82,995,736.26/10,504.73
  6. Step 6: Final answer
    x = 7,900.80

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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.