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Finding the Fourth Proportional to 6,111.50, 8,431.26 and 4,692.74

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Solution

The fourth proportional to 6,111.50, 8,431.26 and 4,692.74 is: 6,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.50 : 8,431.26 = 4,692.74 : x
  2. Step 2: Convert to fraction form
    6,111.50/8,431.26 = 4,692.74/x
  3. Step 3: Cross multiply
    6,111.50x = 8,431.26 × 4,692.74
  4. Step 4: Simplify right side
    6,111.50x = 39,565,711.05
  5. Step 5: Solve for x
    x = 39,565,711.05/6,111.50
  6. Step 6: Final answer
    x = 6,473.98

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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.