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Finding the Fourth Proportional to 11,692.45, 16,134.69 and 7,214.50

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Solution

The fourth proportional to 11,692.45, 16,134.69 and 7,214.50 is: 9,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.45 : 16,134.69 = 7,214.50 : x
  2. Step 2: Convert to fraction form
    11,692.45/16,134.69 = 7,214.50/x
  3. Step 3: Cross multiply
    11,692.45x = 16,134.69 × 7,214.50
  4. Step 4: Simplify right side
    11,692.45x = 116,403,721.01
  5. Step 5: Solve for x
    x = 116,403,721.01/11,692.45
  6. Step 6: Final answer
    x = 9,955.46

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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.