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Finding the Fourth Proportional to 6,785.93, 10,163.85 and 5,214.36

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Solution

The fourth proportional to 6,785.93, 10,163.85 and 5,214.36 is: 7,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.93 : 10,163.85 = 5,214.36 : x
  2. Step 2: Convert to fraction form
    6,785.93/10,163.85 = 5,214.36/x
  3. Step 3: Cross multiply
    6,785.93x = 10,163.85 × 5,214.36
  4. Step 4: Simplify right side
    6,785.93x = 52,997,946.81
  5. Step 5: Solve for x
    x = 52,997,946.81/6,785.93
  6. Step 6: Final answer
    x = 7,809.98

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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.