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Finding the Fourth Proportional to 7,932.24, 11,900.07 and 4,934

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Solution

The fourth proportional to 7,932.24, 11,900.07 and 4,934 is: 7,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.24 : 11,900.07 = 4,934 : x
  2. Step 2: Convert to fraction form
    7,932.24/11,900.07 = 4,934/x
  3. Step 3: Cross multiply
    7,932.24x = 11,900.07 × 4,934
  4. Step 4: Simplify right side
    7,932.24x = 58,714,945.38
  5. Step 5: Solve for x
    x = 58,714,945.38/7,932.24
  6. Step 6: Final answer
    x = 7,402.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.