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Finding the Fourth Proportional to 11,737.89, 16,195.71 and 6,959.34

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Solution

The fourth proportional to 11,737.89, 16,195.71 and 6,959.34 is: 9,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.89 : 16,195.71 = 6,959.34 : x
  2. Step 2: Convert to fraction form
    11,737.89/16,195.71 = 6,959.34/x
  3. Step 3: Cross multiply
    11,737.89x = 16,195.71 × 6,959.34
  4. Step 4: Simplify right side
    11,737.89x = 112,711,452.43
  5. Step 5: Solve for x
    x = 112,711,452.43/11,737.89
  6. Step 6: Final answer
    x = 9,602.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.