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Finding the Fourth Proportional to 11,546, 17,305.32 and 5,300.80

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Solution

The fourth proportional to 11,546, 17,305.32 and 5,300.80 is: 7,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546 : 17,305.32 = 5,300.80 : x
  2. Step 2: Convert to fraction form
    11,546/17,305.32 = 5,300.80/x
  3. Step 3: Cross multiply
    11,546x = 17,305.32 × 5,300.80
  4. Step 4: Simplify right side
    11,546x = 91,732,040.26
  5. Step 5: Solve for x
    x = 91,732,040.26/11,546
  6. Step 6: Final answer
    x = 7,944.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.