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Finding the Fourth Proportional to 7,866.88, 10,832.87 and 7,692.26

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Solution

The fourth proportional to 7,866.88, 10,832.87 and 7,692.26 is: 10,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.88 : 10,832.87 = 7,692.26 : x
  2. Step 2: Convert to fraction form
    7,866.88/10,832.87 = 7,692.26/x
  3. Step 3: Cross multiply
    7,866.88x = 10,832.87 × 7,692.26
  4. Step 4: Simplify right side
    7,866.88x = 83,329,217.65
  5. Step 5: Solve for x
    x = 83,329,217.65/7,866.88
  6. Step 6: Final answer
    x = 10,592.41

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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.