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Finding the Fourth Proportional to 11,938.86, 16,483.08 and 7,692.03

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Solution

The fourth proportional to 11,938.86, 16,483.08 and 7,692.03 is: 10,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.86 : 16,483.08 = 7,692.03 : x
  2. Step 2: Convert to fraction form
    11,938.86/16,483.08 = 7,692.03/x
  3. Step 3: Cross multiply
    11,938.86x = 16,483.08 × 7,692.03
  4. Step 4: Simplify right side
    11,938.86x = 126,788,345.85
  5. Step 5: Solve for x
    x = 126,788,345.85/11,938.86
  6. Step 6: Final answer
    x = 10,619.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.