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Finding the Fourth Proportional to 11,786.52, 16,265.85 and 7,069.89

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Solution

The fourth proportional to 11,786.52, 16,265.85 and 7,069.89 is: 9,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.52 : 16,265.85 = 7,069.89 : x
  2. Step 2: Convert to fraction form
    11,786.52/16,265.85 = 7,069.89/x
  3. Step 3: Cross multiply
    11,786.52x = 16,265.85 × 7,069.89
  4. Step 4: Simplify right side
    11,786.52x = 114,997,770.26
  5. Step 5: Solve for x
    x = 114,997,770.26/11,786.52
  6. Step 6: Final answer
    x = 9,756.72

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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.