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Finding the Fourth Proportional to 7,981.56, 11,972.82 and 3,363

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Solution

The fourth proportional to 7,981.56, 11,972.82 and 3,363 is: 5,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.56 : 11,972.82 = 3,363 : x
  2. Step 2: Convert to fraction form
    7,981.56/11,972.82 = 3,363/x
  3. Step 3: Cross multiply
    7,981.56x = 11,972.82 × 3,363
  4. Step 4: Simplify right side
    7,981.56x = 40,264,593.66
  5. Step 5: Solve for x
    x = 40,264,593.66/7,981.56
  6. Step 6: Final answer
    x = 5,044.70

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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.