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Finding the Fourth Proportional to 8,383.70, 11,570.96 and 4,849

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Solution

The fourth proportional to 8,383.70, 11,570.96 and 4,849 is: 6,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.70 : 11,570.96 = 4,849 : x
  2. Step 2: Convert to fraction form
    8,383.70/11,570.96 = 4,849/x
  3. Step 3: Cross multiply
    8,383.70x = 11,570.96 × 4,849
  4. Step 4: Simplify right side
    8,383.70x = 56,107,585.04
  5. Step 5: Solve for x
    x = 56,107,585.04/8,383.70
  6. Step 6: Final answer
    x = 6,692.46

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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.