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Finding the Fourth Proportional to 7,924.34, 11,882.10 and 3,243.08

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Solution

The fourth proportional to 7,924.34, 11,882.10 and 3,243.08 is: 4,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.34 : 11,882.10 = 3,243.08 : x
  2. Step 2: Convert to fraction form
    7,924.34/11,882.10 = 3,243.08/x
  3. Step 3: Cross multiply
    7,924.34x = 11,882.10 × 3,243.08
  4. Step 4: Simplify right side
    7,924.34x = 38,534,600.87
  5. Step 5: Solve for x
    x = 38,534,600.87/7,924.34
  6. Step 6: Final answer
    x = 4,862.82

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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.