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Finding the Fourth Proportional to 11,131.65, 16,692.29 and 6,453.00

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Solution

The fourth proportional to 11,131.65, 16,692.29 and 6,453.00 is: 9,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.65 : 16,692.29 = 6,453.00 : x
  2. Step 2: Convert to fraction form
    11,131.65/16,692.29 = 6,453.00/x
  3. Step 3: Cross multiply
    11,131.65x = 16,692.29 × 6,453.00
  4. Step 4: Simplify right side
    11,131.65x = 107,715,394.80
  5. Step 5: Solve for x
    x = 107,715,394.80/11,131.65
  6. Step 6: Final answer
    x = 9,676.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.