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Finding the Fourth Proportional to 7,692.86, 11,531.22 and 4,356.94

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Solution

The fourth proportional to 7,692.86, 11,531.22 and 4,356.94 is: 6,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.86 : 11,531.22 = 4,356.94 : x
  2. Step 2: Convert to fraction form
    7,692.86/11,531.22 = 4,356.94/x
  3. Step 3: Cross multiply
    7,692.86x = 11,531.22 × 4,356.94
  4. Step 4: Simplify right side
    7,692.86x = 50,240,804.84
  5. Step 5: Solve for x
    x = 50,240,804.84/7,692.86
  6. Step 6: Final answer
    x = 6,530.83

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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.