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Finding the Fourth Proportional to 11,760.78, 17,642.61 and 3,967.50

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Solution

The fourth proportional to 11,760.78, 17,642.61 and 3,967.50 is: 5,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.78 : 17,642.61 = 3,967.50 : x
  2. Step 2: Convert to fraction form
    11,760.78/17,642.61 = 3,967.50/x
  3. Step 3: Cross multiply
    11,760.78x = 17,642.61 × 3,967.50
  4. Step 4: Simplify right side
    11,760.78x = 69,997,055.18
  5. Step 5: Solve for x
    x = 69,997,055.18/11,760.78
  6. Step 6: Final answer
    x = 5,951.74

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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.