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Finding the Fourth Proportional to 7,972.84, 11,960.34 and 2,777.50

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Solution

The fourth proportional to 7,972.84, 11,960.34 and 2,777.50 is: 4,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.84 : 11,960.34 = 2,777.50 : x
  2. Step 2: Convert to fraction form
    7,972.84/11,960.34 = 2,777.50/x
  3. Step 3: Cross multiply
    7,972.84x = 11,960.34 × 2,777.50
  4. Step 4: Simplify right side
    7,972.84x = 33,219,844.35
  5. Step 5: Solve for x
    x = 33,219,844.35/7,972.84
  6. Step 6: Final answer
    x = 4,166.63

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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.