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Finding the Fourth Proportional to 8,638.06, 11,908.47 and 7,306.42

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Solution

The fourth proportional to 8,638.06, 11,908.47 and 7,306.42 is: 10,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.06 : 11,908.47 = 7,306.42 : x
  2. Step 2: Convert to fraction form
    8,638.06/11,908.47 = 7,306.42/x
  3. Step 3: Cross multiply
    8,638.06x = 11,908.47 × 7,306.42
  4. Step 4: Simplify right side
    8,638.06x = 87,008,283.38
  5. Step 5: Solve for x
    x = 87,008,283.38/8,638.06
  6. Step 6: Final answer
    x = 10,072.66

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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.