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Finding the Fourth Proportional to 28,461.38, 42,692.06 and 7,684.88

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Solution

The fourth proportional to 28,461.38, 42,692.06 and 7,684.88 is: 11,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461.38 : 42,692.06 = 7,684.88 : x
  2. Step 2: Convert to fraction form
    28,461.38/42,692.06 = 7,684.88/x
  3. Step 3: Cross multiply
    28,461.38x = 42,692.06 × 7,684.88
  4. Step 4: Simplify right side
    28,461.38x = 328,083,163.80
  5. Step 5: Solve for x
    x = 328,083,163.80/28,461.38
  6. Step 6: Final answer
    x = 11,527.31

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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.