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Finding the Fourth Proportional to 7,777.92, 10,738.25 and 5,260.44

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Solution

The fourth proportional to 7,777.92, 10,738.25 and 5,260.44 is: 7,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.92 : 10,738.25 = 5,260.44 : x
  2. Step 2: Convert to fraction form
    7,777.92/10,738.25 = 5,260.44/x
  3. Step 3: Cross multiply
    7,777.92x = 10,738.25 × 5,260.44
  4. Step 4: Simplify right side
    7,777.92x = 56,487,983.11
  5. Step 5: Solve for x
    x = 56,487,983.11/7,777.92
  6. Step 6: Final answer
    x = 7,262.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.