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Finding the Fourth Proportional to 7,932.02, 11,897.67 and 3,774.02

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Solution

The fourth proportional to 7,932.02, 11,897.67 and 3,774.02 is: 5,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.02 : 11,897.67 = 3,774.02 : x
  2. Step 2: Convert to fraction form
    7,932.02/11,897.67 = 3,774.02/x
  3. Step 3: Cross multiply
    7,932.02x = 11,897.67 × 3,774.02
  4. Step 4: Simplify right side
    7,932.02x = 44,902,044.53
  5. Step 5: Solve for x
    x = 44,902,044.53/7,932.02
  6. Step 6: Final answer
    x = 5,660.86

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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.