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Finding the Fourth Proportional to 6,803.77, 10,196.07 and 5,410.93

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Solution

The fourth proportional to 6,803.77, 10,196.07 and 5,410.93 is: 8,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.77 : 10,196.07 = 5,410.93 : x
  2. Step 2: Convert to fraction form
    6,803.77/10,196.07 = 5,410.93/x
  3. Step 3: Cross multiply
    6,803.77x = 10,196.07 × 5,410.93
  4. Step 4: Simplify right side
    6,803.77x = 55,170,221.05
  5. Step 5: Solve for x
    x = 55,170,221.05/6,803.77
  6. Step 6: Final answer
    x = 8,108.77

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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.