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Finding the Fourth Proportional to 11,834.77, 16,331.73 and 6,530.08

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Solution

The fourth proportional to 11,834.77, 16,331.73 and 6,530.08 is: 9,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.77 : 16,331.73 = 6,530.08 : x
  2. Step 2: Convert to fraction form
    11,834.77/16,331.73 = 6,530.08/x
  3. Step 3: Cross multiply
    11,834.77x = 16,331.73 × 6,530.08
  4. Step 4: Simplify right side
    11,834.77x = 106,647,503.44
  5. Step 5: Solve for x
    x = 106,647,503.44/11,834.77
  6. Step 6: Final answer
    x = 9,011.37

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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.