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Finding the Fourth Proportional to 11,692.25, 16,133.16 and 6,656.18

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Solution

The fourth proportional to 11,692.25, 16,133.16 and 6,656.18 is: 9,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.25 : 16,133.16 = 6,656.18 : x
  2. Step 2: Convert to fraction form
    11,692.25/16,133.16 = 6,656.18/x
  3. Step 3: Cross multiply
    11,692.25x = 16,133.16 × 6,656.18
  4. Step 4: Simplify right side
    11,692.25x = 107,385,216.93
  5. Step 5: Solve for x
    x = 107,385,216.93/11,692.25
  6. Step 6: Final answer
    x = 9,184.31

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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.