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Finding the Fourth Proportional to 11,959.16, 17,922.30 and 6,103.46

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Solution

The fourth proportional to 11,959.16, 17,922.30 and 6,103.46 is: 9,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.16 : 17,922.30 = 6,103.46 : x
  2. Step 2: Convert to fraction form
    11,959.16/17,922.30 = 6,103.46/x
  3. Step 3: Cross multiply
    11,959.16x = 17,922.30 × 6,103.46
  4. Step 4: Simplify right side
    11,959.16x = 109,388,041.16
  5. Step 5: Solve for x
    x = 109,388,041.16/11,959.16
  6. Step 6: Final answer
    x = 9,146.80

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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.