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Finding the Fourth Proportional to 11,692.85, 17,538.74 and 4,296.77

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Solution

The fourth proportional to 11,692.85, 17,538.74 and 4,296.77 is: 6,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.85 : 17,538.74 = 4,296.77 : x
  2. Step 2: Convert to fraction form
    11,692.85/17,538.74 = 4,296.77/x
  3. Step 3: Cross multiply
    11,692.85x = 17,538.74 × 4,296.77
  4. Step 4: Simplify right side
    11,692.85x = 75,359,904.58
  5. Step 5: Solve for x
    x = 75,359,904.58/11,692.85
  6. Step 6: Final answer
    x = 6,444.96

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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.