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Finding the Fourth Proportional to 11,666.40, 16,122.96 and 8,692.08

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Solution

The fourth proportional to 11,666.40, 16,122.96 and 8,692.08 is: 12,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.40 : 16,122.96 = 8,692.08 : x
  2. Step 2: Convert to fraction form
    11,666.40/16,122.96 = 8,692.08/x
  3. Step 3: Cross multiply
    11,666.40x = 16,122.96 × 8,692.08
  4. Step 4: Simplify right side
    11,666.40x = 140,142,058.16
  5. Step 5: Solve for x
    x = 140,142,058.16/11,666.40
  6. Step 6: Final answer
    x = 12,012.45

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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.