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Finding the Fourth Proportional to 10,006.12, 13,808.97 and 5,757.82

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Solution

The fourth proportional to 10,006.12, 13,808.97 and 5,757.82 is: 7,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.12 : 13,808.97 = 5,757.82 : x
  2. Step 2: Convert to fraction form
    10,006.12/13,808.97 = 5,757.82/x
  3. Step 3: Cross multiply
    10,006.12x = 13,808.97 × 5,757.82
  4. Step 4: Simplify right side
    10,006.12x = 79,509,563.65
  5. Step 5: Solve for x
    x = 79,509,563.65/10,006.12
  6. Step 6: Final answer
    x = 7,946.09

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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.