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Finding the Fourth Proportional to 6,890.82, 9,513.89 and 5,294.61

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Solution

The fourth proportional to 6,890.82, 9,513.89 and 5,294.61 is: 7,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.82 : 9,513.89 = 5,294.61 : x
  2. Step 2: Convert to fraction form
    6,890.82/9,513.89 = 5,294.61/x
  3. Step 3: Cross multiply
    6,890.82x = 9,513.89 × 5,294.61
  4. Step 4: Simplify right side
    6,890.82x = 50,372,310.66
  5. Step 5: Solve for x
    x = 50,372,310.66/6,890.82
  6. Step 6: Final answer
    x = 7,310.07

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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.