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Finding the Fourth Proportional to 8,374.14, 12,560.94 and 3,692.70

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Solution

The fourth proportional to 8,374.14, 12,560.94 and 3,692.70 is: 5,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.14 : 12,560.94 = 3,692.70 : x
  2. Step 2: Convert to fraction form
    8,374.14/12,560.94 = 3,692.70/x
  3. Step 3: Cross multiply
    8,374.14x = 12,560.94 × 3,692.70
  4. Step 4: Simplify right side
    8,374.14x = 46,383,783.14
  5. Step 5: Solve for x
    x = 46,383,783.14/8,374.14
  6. Step 6: Final answer
    x = 5,538.93

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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.