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Finding the Fourth Proportional to 6,896.24, 10,336.14 and 4,804.92

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Solution

The fourth proportional to 6,896.24, 10,336.14 and 4,804.92 is: 7,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.24 : 10,336.14 = 4,804.92 : x
  2. Step 2: Convert to fraction form
    6,896.24/10,336.14 = 4,804.92/x
  3. Step 3: Cross multiply
    6,896.24x = 10,336.14 × 4,804.92
  4. Step 4: Simplify right side
    6,896.24x = 49,664,325.81
  5. Step 5: Solve for x
    x = 49,664,325.81/6,896.24
  6. Step 6: Final answer
    x = 7,201.65

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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.