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Finding the Fourth Proportional to 7,777.40, 10,733.85 and 4,945.05

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Solution

The fourth proportional to 7,777.40, 10,733.85 and 4,945.05 is: 6,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.40 : 10,733.85 = 4,945.05 : x
  2. Step 2: Convert to fraction form
    7,777.40/10,733.85 = 4,945.05/x
  3. Step 3: Cross multiply
    7,777.40x = 10,733.85 × 4,945.05
  4. Step 4: Simplify right side
    7,777.40x = 53,079,424.94
  5. Step 5: Solve for x
    x = 53,079,424.94/7,777.40
  6. Step 6: Final answer
    x = 6,824.83

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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.