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Finding the Fourth Proportional to 8,677.56, 11,969.40 and 5,138.16

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Solution

The fourth proportional to 8,677.56, 11,969.40 and 5,138.16 is: 7,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.56 : 11,969.40 = 5,138.16 : x
  2. Step 2: Convert to fraction form
    8,677.56/11,969.40 = 5,138.16/x
  3. Step 3: Cross multiply
    8,677.56x = 11,969.40 × 5,138.16
  4. Step 4: Simplify right side
    8,677.56x = 61,500,692.30
  5. Step 5: Solve for x
    x = 61,500,692.30/8,677.56
  6. Step 6: Final answer
    x = 7,087.33

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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.