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Finding the Fourth Proportional to 28,461.75, 42,692.63 and 7,685.25

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Solution

The fourth proportional to 28,461.75, 42,692.63 and 7,685.25 is: 11,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461.75 : 42,692.63 = 7,685.25 : x
  2. Step 2: Convert to fraction form
    28,461.75/42,692.63 = 7,685.25/x
  3. Step 3: Cross multiply
    28,461.75x = 42,692.63 × 7,685.25
  4. Step 4: Simplify right side
    28,461.75x = 328,103,496.28
  5. Step 5: Solve for x
    x = 328,103,496.28/28,461.75
  6. Step 6: Final answer
    x = 11,527.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.