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Finding the Fourth Proportional to 11,959.02, 17,922.06 and 6,103.40

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Solution

The fourth proportional to 11,959.02, 17,922.06 and 6,103.40 is: 9,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.02 : 17,922.06 = 6,103.40 : x
  2. Step 2: Convert to fraction form
    11,959.02/17,922.06 = 6,103.40/x
  3. Step 3: Cross multiply
    11,959.02x = 17,922.06 × 6,103.40
  4. Step 4: Simplify right side
    11,959.02x = 109,385,411.39
  5. Step 5: Solve for x
    x = 109,385,411.39/11,959.02
  6. Step 6: Final answer
    x = 9,146.69

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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.