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Finding the Fourth Proportional to 6,834.71, 10,252.07 and 4,890.71

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Solution

The fourth proportional to 6,834.71, 10,252.07 and 4,890.71 is: 7,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.71 : 10,252.07 = 4,890.71 : x
  2. Step 2: Convert to fraction form
    6,834.71/10,252.07 = 4,890.71/x
  3. Step 3: Cross multiply
    6,834.71x = 10,252.07 × 4,890.71
  4. Step 4: Simplify right side
    6,834.71x = 50,139,876.82
  5. Step 5: Solve for x
    x = 50,139,876.82/6,834.71
  6. Step 6: Final answer
    x = 7,336.07

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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.