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Finding the Fourth Proportional to 6,890.91, 10,304.82 and 5,137.10

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Solution

The fourth proportional to 6,890.91, 10,304.82 and 5,137.10 is: 7,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.91 : 10,304.82 = 5,137.10 : x
  2. Step 2: Convert to fraction form
    6,890.91/10,304.82 = 5,137.10/x
  3. Step 3: Cross multiply
    6,890.91x = 10,304.82 × 5,137.10
  4. Step 4: Simplify right side
    6,890.91x = 52,936,935.91
  5. Step 5: Solve for x
    x = 52,936,935.91/6,890.91
  6. Step 6: Final answer
    x = 7,682.14

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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.