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Finding the Fourth Proportional to 7,982.72, 11,974 and 3,810.08

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Solution

The fourth proportional to 7,982.72, 11,974 and 3,810.08 is: 5,715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.72 : 11,974 = 3,810.08 : x
  2. Step 2: Convert to fraction form
    7,982.72/11,974 = 3,810.08/x
  3. Step 3: Cross multiply
    7,982.72x = 11,974 × 3,810.08
  4. Step 4: Simplify right side
    7,982.72x = 45,621,897.92
  5. Step 5: Solve for x
    x = 45,621,897.92/7,982.72
  6. Step 6: Final answer
    x = 5,715.08

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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.