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Finding the Fourth Proportional to 27,702.36, 41,560.68 and 7,982.46

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Solution

The fourth proportional to 27,702.36, 41,560.68 and 7,982.46 is: 11,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.36 : 41,560.68 = 7,982.46 : x
  2. Step 2: Convert to fraction form
    27,702.36/41,560.68 = 7,982.46/x
  3. Step 3: Cross multiply
    27,702.36x = 41,560.68 × 7,982.46
  4. Step 4: Simplify right side
    27,702.36x = 331,756,465.67
  5. Step 5: Solve for x
    x = 331,756,465.67/27,702.36
  6. Step 6: Final answer
    x = 11,975.75

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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.