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Finding the Fourth Proportional to 11,750.03, 17,615.16 and 5,506.75

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Solution

The fourth proportional to 11,750.03, 17,615.16 and 5,506.75 is: 8,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.03 : 17,615.16 = 5,506.75 : x
  2. Step 2: Convert to fraction form
    11,750.03/17,615.16 = 5,506.75/x
  3. Step 3: Cross multiply
    11,750.03x = 17,615.16 × 5,506.75
  4. Step 4: Simplify right side
    11,750.03x = 97,002,282.33
  5. Step 5: Solve for x
    x = 97,002,282.33/11,750.03
  6. Step 6: Final answer
    x = 8,255.49

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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.