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Finding the Fourth Proportional to 10,504.92, 14,496.75 and 5,789.10

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Solution

The fourth proportional to 10,504.92, 14,496.75 and 5,789.10 is: 7,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.92 : 14,496.75 = 5,789.10 : x
  2. Step 2: Convert to fraction form
    10,504.92/14,496.75 = 5,789.10/x
  3. Step 3: Cross multiply
    10,504.92x = 14,496.75 × 5,789.10
  4. Step 4: Simplify right side
    10,504.92x = 83,923,135.43
  5. Step 5: Solve for x
    x = 83,923,135.43/10,504.92
  6. Step 6: Final answer
    x = 7,988.94

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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.