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Finding the Fourth Proportional to 11,761.38, 16,224.57 and 7,283.70

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Solution

The fourth proportional to 11,761.38, 16,224.57 and 7,283.70 is: 10,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.38 : 16,224.57 = 7,283.70 : x
  2. Step 2: Convert to fraction form
    11,761.38/16,224.57 = 7,283.70/x
  3. Step 3: Cross multiply
    11,761.38x = 16,224.57 × 7,283.70
  4. Step 4: Simplify right side
    11,761.38x = 118,174,900.51
  5. Step 5: Solve for x
    x = 118,174,900.51/11,761.38
  6. Step 6: Final answer
    x = 10,047.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.