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Finding the Fourth Proportional to 11,692.95, 16,139.70 and 8,157.30

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Solution

The fourth proportional to 11,692.95, 16,139.70 and 8,157.30 is: 11,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.95 : 16,139.70 = 8,157.30 : x
  2. Step 2: Convert to fraction form
    11,692.95/16,139.70 = 8,157.30/x
  3. Step 3: Cross multiply
    11,692.95x = 16,139.70 × 8,157.30
  4. Step 4: Simplify right side
    11,692.95x = 131,656,374.81
  5. Step 5: Solve for x
    x = 131,656,374.81/11,692.95
  6. Step 6: Final answer
    x = 11,259.47

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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.